conversation_id int64 1 206k | help_channel stringlengths 6 7 | __rowid__ stringlengths 32 32 | author_id int64 62,061,868B 1,071,443,446B | author_name stringlengths 2 32 | timestamp stringlengths 19 19 | content stringlengths 0 3.97k | reference.messageId stringclasses 3
values | reference.channelId stringclasses 3
values | reference.guildId stringclasses 1
value | url stringlengths 0 591 | fileName stringlengths 0 513 | student int64 0 1 | helper int64 0 1 | references.id float64 62,061,868B 1,071,056,124B ⌀ | references.name stringlengths 2 32 ⌀ | references.discriminator stringlengths 4 4 ⌀ | references.nickname stringlengths 1 32 ⌀ | references.isBot bool 2
classes |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:43:01 | Well, it is, but that’s not what injections are about | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:43:16 | Do you understand intuitively what an inverse function does | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 197,677,205,382,365,200 | .nai | 03/25/2022 22:43:18 | Ah well... This is an unfortunate question then :/ | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:43:23 | Yeah | 1 | 0 | 307,070,375,735,459,840 | abs_0 | 8527 | a.b.s._.0. | false | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:43:28 | They’re in high school for gods sake | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 22:43:39 | yeah | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:44:31 | What does it do? | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 22:45:05 | its like reversing the function | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 22:45:10 | undoing it? | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 22:45:22 | i think the textbook mentioned like ctrl z | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 22:45:28 | yeah so undoing | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:46:34 | Yes exactly | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:46:43 | So what’s the inverse of x^2 | 1 | 0 | 197,677,205,382,365,200 | .nai | 9187 | .nai | false | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 22:47:15 | +-sqrt(x)? | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:47:22 | Yep | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:47:31 | Those are two functions, really | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:47:37 | +sqrt x and -sqrt x | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:48:27 | If x is positive, the inverse of x^2 would be +sqrt x. If x is negative, the inverse would be -sqrt x. | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:49:21 | And so that’s the issue with x^2 — it has no singular inverse function that works for every number x. You have to restrict the **domain** of x^2 into “positive” or “negative” to get a single inverse function. | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:49:35 | Are you following so far? This is just what the first screenshot was saying | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 22:50:11 | yeah that makes sense | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 22:50:22 | however the 2nd screenshot is what problem i need to tackle | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:50:26 | Yes | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:52:49 | So one fundamental property of inverse functions is the following: if f and g are inverse functions, when you take the output of f (which is f(x)) and put it into g, it should give you x back. In other words, g(f(x)) = x, for any number x. | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:53:09 | @deneese still following? | 1 | 0 | 307,070,375,735,459,840 | abs_0 | 8527 | a.b.s._.0. | false | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 22:53:26 | yeah | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 22:53:30 | i learned that | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:53:33 | Ok cool | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:53:37 | So now onto the first question | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 22:55:25 | alright | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:56:01 | Btw dude you’re not dumb - the fact that you understand this already is great | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:56:11 | Anyway | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:56:38 | So I was thinking about the fact that 0 isn’t in the domain of f | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 22:57:52 | okay | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 22:58:08 | well you can't divide by 0 | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:58:19 | So to prove that it doesn’t have an inverse, we really want to find a number in g that “should” map to 0 | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:58:37 | But that isn’t really working | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 22:58:40 | Hmm | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 22:59:30 | well | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 22:59:35 | let me get this right | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 22:59:49 | a function has no inverse when there are 2 inputs that give the same output right | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:00:30 | Yeah that works too | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:00:43 | You could go that route, maybe it’ll lead to something | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:01:26 | I was thinking, if f doesn’t have an inverse, there could be some number which f doesn’t map to | 1 | 0 | 432,216,491,983,765,500 | deneese | 7361 | deneese | false | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:02:20 | oh | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:02:25 | how would i go about finding that | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:02:57 | Oh wow | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:03:13 | @deneese I just graphed it in Desmos | IMG_6123.png | 1 | 0 | null | null | null | null | null | ||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:04:00 | Oh wait I’m stupid | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:04:06 | 1 and -1 both map to 0 | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:04:08 | That’s much easier | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:04:15 | Boom, you’re done | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:04:23 | oh wow | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:04:27 | ur right | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:05:35 | You can see the “horizontal line test” checks if a function has an inverse | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:06:08 | yeah | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:06:31 | how do i prove it doesn't have an inverse then? | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:06:49 | when the domain is set to 0 < inf | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:09:09 | U mean that it does have an inverse | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:09:54 | yeah sorry | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:10:11 | Well you can see it passes the horizontal line test — but of course that isn’t convincing enough | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:10:17 | Hmm | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:10:42 | Maybe we could construct the inverse function and show that it has domain R and range (0, inf) | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:10:47 | Do you know what I mean by that | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:12:45 | yeah we could set up so its x = y - 1/y right? | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:12:48 | and then solve for y | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:15:32 | i need to get this done pretty soon | 0 | 1 | 432,216,491,983,765,500 | deneese | 7361 | deneese | false | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:16:25 | Yeah exactly | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:16:28 | Sorry I’m at dinner lol | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:16:36 | Ok here’s the trick | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:16:38 | Square both sides | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:17:11 | @deneese | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:17:16 | okay | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:17:24 | Tell me what you get | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:17:46 | when i square x = y - 1/y? | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:18:36 | Yeah, both sides | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:19:23 | x^2 = y^2 - 1/y^2 | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:20:18 | The right side isn’t quite right | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:20:25 | Use FOIL | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:21:24 | x^2 = (y^4-2y^2+1)/y^2 | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:22:34 | @abs_0 | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:22:42 | Yeah | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:22:46 | Distribute the y^2 to each term | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:23:22 | okay | 0 | 1 | 307,070,375,735,459,840 | abs_0 | 8527 | a.b.s._.0. | false | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:23:23 | i got | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:23:34 | x^2y^2 = y^4-2y^2+1 | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:24:46 | Nah | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:24:55 | I mean the 1/y^2 to each term on the right side | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:26:18 | @deneese | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:27:39 | how do u do that | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:27:45 | idk what u get | 0 | 1 | 432,216,491,983,765,500 | deneese | 7361 | deneese | false | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:27:47 | @abs_0 | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:27:49 | Here | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:28:12 | From this, you have $$x^2 = y^2 - 2 + \frac 1{y^2}$$ | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 510,789,298,321,096,700 | TeXit | 03/25/2022 23:28:15 | **abs\_0** | 307070375735459842.png | 0 | 1 | null | null | null | null | null | ||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:28:24 | I divided each term on the right by the y^2 | 1 | 0 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:29:17 | oh alr | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:29:20 | i see | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 432,216,491,983,765,500 | deneese | 03/25/2022 23:29:28 | i thought we were multiplying | 0 | 1 | null | null | null | null | null | |||||
1,485 | help-10 | 381a091c56c3457394a6bdc7c4c4ac2e | 307,070,375,735,459,840 | abs_0 | 03/25/2022 23:30:11 | You can rewrite this as $$x^2 = \left(y^2 + \frac 1{y^2}\right) -2,$$ and then substitute $x$ for the parentheses to get $$x^2 = x - 2$$ | 1 | 0 | 307,070,375,735,459,840 | abs_0 | 8527 | a.b.s._.0. | false |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.