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8
student
3.5
16,453
1,313
[]
volunteer
Yup, or, or um seven halves, either one, it's up to you.
16,453
1,314
[]
student
OK, so please not 5.
16,453
1,315
[]
student
And then this one will be
16,453
1,316
[]
volunteer
Is there a way you can write a route
16,453
1,317
[]
volunteer
like a square root
16,453
1,318
[]
student
I'm just writing here for now.
16,453
1,319
[]
volunteer
I would do the square root of 10 or, oh, actually that would be a negative number. So it says
16,453
1,320
[]
volunteer
Oh wait, we're identifying the Y intercept. What are we doing?
16,453
1,321
[]
student
Oh yeah. Oh
16,453
1,322
[]
student
Oh yeah
16,453
1,323
[]
student
So 0 times 2.
16,453
1,324
[]
volunteer
So
16,453
1,325
[]
student
So the first number X is 0, so 0. The first one is 0 plus.
16,453
1,326
[]
student
I mean times
16,453
1,327
[]
volunteer
well, no, we're, we're we're multiplying, right?
16,453
1,328
[]
student
Yeah, times
16,453
1,329
[]
volunteer
So,
16,453
1,330
[]
student
0 minus 7, so times -7.
16,453
1,331
[]
student
times 0.
16,453
1,332
[]
volunteer
well, times
16,453
1,333
[]
student
No, 10
16,453
1,334
[]
volunteer
+ 10. But what would 0 times anything be?
16,453
1,335
[]
student
0.
16,453
1,336
[]
volunteer
So what would the Y intercept be
16,453
1,337
[]
volunteer
Mhm.
16,453
1,338
[]
student
Oh, cause, oh, cause it starts at, at 0.
16,453
1,339
[]
student
Makes sense. OK, so do we.
16,453
1,340
[]
student
Yeah, 0
16,453
1,341
[]
student
225
16,453
1,342
[]
volunteer
So now we find the real roots. So there would be 10, right? And then one at 3.5. Now, you see how
16,453
1,343
[]
student
How do you meet this -10.
16,453
1,344
[]
volunteer
because it's
16,453
1,345
[]
volunteer
see, that would be an imaginary route because it would be x + 10.
16,453
1,346
[]
volunteer
So because it's imaginary, we wouldn't have to write it down.
16,453
1,347
[]
student
Oh
16,453
1,348
[]
volunteer
Does that make sense?
16,453
1,349
[]
student
Yeah, that makes sense
16,453
1,350
[]
volunteer
Because it can't be equal zero. It can never equal zero unless it's an imaginary number.
16,453
1,351
[]
student
OK
16,453
1,352
[]
volunteer
All right, so plug in any number that's
16,453
1,353
[]
volunteer
negative
16,453
1,354
[]
student
So you
16,453
1,355
[]
volunteer
Well, let's do -1 because it's easy.
16,453
1,356
[]
student
yeah
16,453
1,357
[]
volunteer
So,
16,453
1,358
[]
student
omega one
16,453
1,359
[]
student
positive
16,453
1,360
[]
volunteer
yeah
16,453
1,361
[]
student
negative
16,453
1,362
[]
volunteer
Uh-huh
16,453
1,363
[]
student
positive
16,453
1,364
[]
volunteer
yep
16,453
1,365
[]
volunteer
So negative
16,453
1,366
[]
volunteer
time, sorry, positive and negative times of positive is.
16,453
1,367
[]
student
negative
16,453
1,368
[]
volunteer
Good
16,453
1,369
[]
student
OK, let's do one.
16,453
1,370
[]
student
negative
16,453
1,371
[]
student
negative
16,453
1,372
[]
student
positive
16,453
1,373
[]
student
right?
16,453
1,374
[]
volunteer
Yeah
16,453
1,375
[]
student
Negative times and negative is so positive.
16,453
1,376
[]
volunteer
Uh-huh
16,453
1,377
[]
student
OK
16,453
1,378
[]
student
Negative
16,453
1,379
[]
student
negative
16,453
1,380
[]
student
positive
16,453
1,381
[]
student
OK, I have a question
16,453
1,382
[]
volunteer
Wait, negative. Are you sure that one's negative in the middle?
16,453
1,383
[]
student
This
16,453
1,384
[]
volunteer
No. Are you, for the last one, are you sure that 2 x minus 7? because we're using a number that's bigger than 7 halves, right?
16,453
1,385
[]
student
00 yeah.
16,453
1,386
[]
student
Oh, so next you's positive, positive.
16,453
1,387
[]
volunteer
So that'd be a negative kind of positive times of positive, which is right.
16,453
1,388
[]
volunteer
yeah
16,453
1,389
[]
volunteer
Uh-huh.
16,453
1,390
[]
student
negative. Well, I have a question. You know how you were telling me how exqui I when it's squirt, it's always a positive. Is it the same for when it's scored inside the parenthesis.
16,453
1,391
[]
volunteer
Yup
16,453
1,392
[]
student
Like one
16,453
1,393
[]
volunteer
because what's -12?
16,453
1,394
[]
student
One
16,453
1,395
[]
student
OK
16,453
1,396
[]
volunteer
Yeah, and so if it's -52, it would just be 25 plus 10, which is 35. So
16,453
1,397
[]
volunteer
yeah, the, if it's a, unless it's imaginary, if it's squared, it's positive.
16,453
1,398
[]
student
Mm
16,453
1,399
[]
student
it
16,453
1,400
[]
volunteer
So if it has an I in it, then I'd watch out cause that would be the square root of -1.
16,453
1,401
[]
student
oh OK
16,453
1,402
[]
student
It's
16,453
1,403
[]
student
0
16,453
1,404
[]
volunteer
So what's the, so we know, we know the Y intercept, right?
16,453
1,405
[]
student
yeah
16,453
1,406
[]
student
0
16,453
1,407
[]
volunteer
0, and then we're looking for 3.5, right?
16,453
1,408
[]
volunteer
So it goes from negative to positive at 0, and then from positive back to negative at 3.5.
16,453
1,409
[]
student
So negative to positive.
16,453
1,410
[]
student
Oops, so
16,453
1,411
[]
student
A negative
16,453
1,412
[]