Split (1)

train · 116k rows

role stringclasses 2 values	content stringlengths 0 2.1k	session_id int64 10 21.7k	sequence_id int64 0 2.38k	annotations listlengths 0 8
volunteer	If the square root is applied to the variable itself, the expression is not a polynomial.	21,191	192	[]
volunteer	Because it's got to be	21,191	193	[]
volunteer	In your exponents only.	21,191	194	[]
volunteer	Non-negative integer powers of the guru.	21,191	195	[]
volunteer	For this	21,191	196	[]
volunteer	problem, for this problem, what do you think it is?	21,191	197	[]
volunteer	Or at least um give me your logic.	21,191	198	[]
volunteer	To narrow the um multiple choice.	21,191	199	[]
student	so, according to my method, I am getting one real root that staisfy g(x)=0	21,191	200	[]
student	since as you told, we can only consider x=1, because that's what we are getting after solve g(x)=0	21,191	201	[]
volunteer	Right.	21,191	202	[]
volunteer	Is that it? Can you at least give uh	21,191	203	[]
volunteer	I guess that's it, isn't mean, no other way to explain away the other answers.	21,191	204	[]
volunteer	Though I'm hesitant to, um,	21,191	205	[]
volunteer	I keep thinking about my answer, my	21,191	206	[]
volunteer	Ida the 4th or 81, that's not a complex number.	21,191	207	[]
volunteer	And I'm trying to figure out	21,191	208	[]
volunteer	How would I solve this? I guess I'd have to do	21,191	209	[]
volunteer	Um	21,191	210	[]
volunteer	What if I did the	21,191	211	[]
volunteer	Pythagorean theorem.	21,191	212	[]
volunteer	For why. Let's do that.	21,191	213	[]
volunteer	If I had	21,191	214	[]
volunteer	Negative. Let's say why is equal to.	21,191	215	[]
volunteer	8 plus or minus the square root.	21,191	216	[]
volunteer	64 minus 4 times.	21,191	217	[]
volunteer	CA is 9.	21,191	218	[]
volunteer	C is -1.	21,191	219	[]
volunteer	Over.	21,191	220	[]
volunteer	18, 2 times A, which is 18.	21,191	221	[]
volunteer	8 square root of 64 plus 36 100.	21,191	222	[]
volunteer	Oh, that comes out pretty clean.	21,191	223	[]
volunteer	It becomes -8 plus or minus.	21,191	224	[]
volunteer	10.	21,191	225	[]
volunteer	Over 18.	21,191	226	[]
volunteer	Which is, um,	21,191	227	[]
volunteer	4 plus or minus 5.	21,191	228	[]
volunteer	09. I think that is	21,191	229	[]
volunteer	I think there's no real roots.	21,191	230	[]
volunteer	Hm	21,191	231	[]
volunteer	This is a head scratcher.	21,191	232	[]
student	how?	21,191	233	[]
volunteer	Because we get a conjugate pair out of this, which is two solutions.	21,191	234	[]
volunteer	What we	21,191	235	[]
volunteer	I mean, it's, it's not, it's not a, I mean,	21,191	236	[]
volunteer	It turns out that this is not a polynomial, because	21,191	237	[]
volunteer	It has a square root term.	21,191	238	[]
volunteer	In a polynomial has to have uh an expression with	21,191	239	[]
volunteer	Non-negative.	21,191	240	[]
volunteer	Non-negative exponents in the square root is not, is not an injury.	21,191	241	[]
volunteer	So this is not a polynomial.	21,191	242	[]
volunteer	Oh, wait, this is just why.	21,191	243	[]
volunteer	I got to take the square root of this.	21,191	244	[]
volunteer	Right, as you got, all right.	21,191	245	[]
volunteer	X is equal to.	21,191	246	[]
volunteer	Um	21,191	247	[]
volunteer	Sorry, Y is equal to square root of x. So X is equal to Y^2.	21,191	248	[]
volunteer	So if I square this,	21,191	249	[]
volunteer	Um	21,191	250	[]
volunteer	It'd be	21,191	251	[]
volunteer	How do you square complex number? Do you have to take the	21,191	252	[]
volunteer	Determinant or do you	21,191	253	[]
volunteer	Do you know how to square a complex number? Good little trivia for you.	21,191	254	[]
volunteer	Oh	21,191	255	[]
volunteer	ABI 2 ABI wouldn't it? Oh, you played the squire, I square. I see what you did there.	21,191	256	[]
volunteer	Clever	21,191	257	[]
volunteer	So it should be	21,191	258	[]
volunteer	36/81.	21,191	259	[]
volunteer	Plus 5 nights, which is where I get 36?	21,191	260	[]
volunteer	I'm done. That should be 16.	21,191	261	[]
volunteer	25/81.	21,191	262	[]
volunteer	Minus	21,191	263	[]
volunteer	Uh, 4 times 5, I guess be plus, yeah, minus.	21,191	264	[]
volunteer	2	21,191	265	[]
volunteer	Over 81 I.	21,191	266	[]
volunteer	Which is equal to 16 and 25 is 41, so 41.	21,191	267	[]
volunteer	0 81.	21,191	268	[]
volunteer	minus 20/81 I.	21,191	269	[]
volunteer	So that is	21,191	270	[]
volunteer	The other route.	21,191	271	[]
volunteer	And I do not want to plug that in. Oh.	21,191	272	[]
volunteer	Because what would be	21,191	273	[]
volunteer	The square root.	21,191	274	[]
volunteer	Would it be the conjugate pair or just one of, one of the pair?	21,191	275	[]
volunteer	I had the chests both cases.	21,191	276	[]
student	how did apply this formula, you have take b of x	21,191	277	[]
student	but here it is b of root x	21,191	278	[]
volunteer	Oh, it's minus 81.	21,191	279	[]
volunteer	Whoops.	21,191	280	[]
volunteer	Yeah, that's what you got, right?	21,191	281	[]
volunteer	Because the B square, I 2 is minus, so it's be minus square. So this is actually	21,191	282	[]
volunteer	minus	21,191	283	[]
volunteer	So 16 minus 25 is 9.	21,191	284	[]
volunteer	So this is actually 19th.	21,191	285	[]
volunteer	negative one night.	21,191	286	[]
volunteer	-20 over 81 I.	21,191	287	[]
volunteer	Now good question here would be how do you take the square root of a complex number.	21,191	288	[]
volunteer	I got a lot to practice for Monday.	21,191	289	[]
volunteer	Oh, that's what we're looking up earlier, square root of a complex number.	21,191	290	[]
volunteer	How did you apply this formula, you have to take B of X, but here it is B of root x	21,191	291	[]

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