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	Sharp	21,191	792	[]
student	yup!	21,191	793	[]
volunteer	Bye.	21,191	794	[]
student	Get well soon! bye	21,191	795	[]
volunteer	Was that you? I'm ready now	21,191	796	[]
volunteer	Hello	21,539	0	[]
volunteer	How may I help you?	21,539	1	[]
student	Hi Chris	21,539	2	[ { "pii_type": "PERSON", "surrogate": "Chris", "start": 3, "end": 8 } ]
student	I have doubt in question of quadratic equation	21,539	3	[]
volunteer	Can you show me the problem you are working on?	21,539	4	[]
student	If f(x)=9x−8 sqr root x such that g(x)=f(x)−1, then which one of the following is correct?	21,539	5	[]
student	(a) g(x)=0 has no real roots (b) g(x)=0 has only one real root which is an integer (c) g(x)=0 has two real roots which are integers (d) g(x)=0 has only one real root which is not an integer	21,539	6	[]
volunteer	I am not quite sure of the equations. did I write them correctly?	21,539	7	[]
student	it is right	21,539	8	[]
volunteer	You should start by writing the equation for g(x)	21,539	9	[]
student	ok	21,539	10	[]
student	g(x) = 9x - 8 sqr root (x) - 1	21,539	11	[]
volunteer	OK, we need to solve that for x	21,539	12	[]
student	yes	21,539	13	[]
student	I took 1 on right side, and square both sides	21,539	14	[]
volunteer	Usually in this kind of equation, you get the √x on one side by itself and then square both sides. That gets rid of the square roots	21,539	15	[]
student	ok, got it!	21,539	16	[]
student	so, do i keep "1" on LHS or take it RHS?	21,539	17	[]
volunteer	If you brought the 1 over to the RHS, then when you squared both sides, you would still have a square root term	21,539	18	[]
volunteer	now, when you square both sides, there will be no square root terms at all. Make sense?	21,539	19	[]
student	I got the first para, that taking "1" on RHS will have root x remain in equation	21,539	20	[]
student	i didnot understand second one	21,539	21	[]
volunteer	Let's square both sides now	21,539	22	[]
student	ok	21,539	23	[]
student	ohhh	21,539	24	[]
student	you took 8 root x other side.	21,539	25	[]
student	Got it!	21,539	26	[]
volunteer	Now you will end up with a quadratic equations with no square roots anywhere.	21,539	27	[]
student	yes, that's right	21,539	28	[]
volunteer	But when you square things, you must be very careful to check your answers in the original equation, because you can introduce extraneous roots	21,539	29	[]
volunteer	can you solve that equation, do you think?	21,539	30	[]
student	yes, I did it.	21,539	31	[]
student	I am getting two values for x	21,539	32	[]
student	x = 81/3 and 1	21,539	33	[]
student	sorry, x = 1/81	21,539	34	[]
volunteer	You need to check them in the original equation	21,539	35	[]
volunteer	Do they both work?	21,539	36	[]
student	x = 1/81 , doesnt make equation equal to 0	21,539	37	[]
student	but x = 1 statisfies the equation	21,539	38	[]
volunteer	Right, 1/81 is an extraneous root.	21,539	39	[]
volunteer	so x =1 is the only root	21,539	40	[]
student	what is extraneous root? root which doesn't satisfy the equation?	21,539	41	[]
volunteer	An extra root that doesn't satisfy the original equation. WHen you square equations, you can introduce roots that don't actually satisfy the original equation. Those are called extraneous roots	21,539	42	[]
student	Ohh, ok, understood.	21,539	43	[]
student	so, for this question, it will be option (b)	21,539	44	[]
volunteer	Yes, I believe so.	21,539	45	[]
student	yes, it is right!	21,539	46	[]
student	I have one more question	21,539	47	[]
volunteer	ok	21,539	48	[]
student	can I erase the board? and write question there?	21,539	49	[]
volunteer	Yes, or you can also upload an image	21,539	50	[]
student	I upload the picture, is it visible?	21,539	51	[]
volunteer	yes	21,539	52	[]
volunteer	I don't know what they mean by AP, GP, and HP	21,539	53	[]
student	it is arithmeic progresion, Geometric Progression, harmonic progression	21,539	54	[]
student	We can leave this question, then.	21,539	55	[]
student	I have its second part which is only related to quadratic	21,539	56	[]
volunteer	My first impession is that Descartes's rules would be helpful here, but I will have to work it out.	21,539	57	[ { "pii_type": "PERSON", "surrogate": "Descartes", "start": 27, "end": 36 } ]
student	i tried to apply it but I didn't understand how to solve it further	21,539	58	[]
volunteer	Yes, it uses Descartes's rules	21,539	59	[ { "pii_type": "PERSON", "surrogate": "Descartes", "start": 13, "end": 22 } ]
volunteer	The sum of the two roots equals -b/a for ax^2 +bx +c	21,539	60	[]
student	yes	21,539	61	[]
volunteer	but they tell us that alpha=beta	21,539	62	[]
student	how did you know alpha=beta?	21,539	63	[]
volunteer	Because it says that the roots of the equation are equal	21,539	64	[]
student	yes right! I didn't read it properly	21,539	65	[]
student	understood!	21,539	66	[]
student	I have one more question	21,539	67	[]
volunteer	ok	21,539	68	[]
student	can you explain like how do i approach such questions? what should I be thinking first? I donot understand these type of questions	21,539	69	[]
volunteer	What kind of curve is x^2 +2x+11 ?	21,539	70	[]
volunteer	Not sure?	21,539	71	[]
student	wait a min	21,539	72	[]
student	is this right?	21,539	73	[]
volunteer	So what is the minimum value of the quadratic?	21,539	74	[]
student	will we take lowest value of x here?	21,539	75	[]
student	as minimum value?	21,539	76	[]
volunteer	what is the minimum value of the quadratic?	21,539	77	[]
student	I donot know	21,539	78	[]
volunteer	Yes, you do. You have written it on your graph.	21,539	79	[]
student	-1?	21,539	80	[]
volunteer	-1 is the x coordinate of the quadratic. But the minimum VALUE of the quadratic (that is, the y value) is 10	21,539	81	[]
volunteer	Any questions about that?	21,539	82	[]
student	so, the lowest value of y coordinate is minimum value	21,539	83	[]
volunteer	WHen we talk about the "value" of a function, we are talking about y, not x	21,539	84	[]
volunteer	so the minimum value of the quadratic is 10	21,539	85	[]
student	oh, so when we talk about x, how do we say it?	21,539	86	[]
volunteer	x is the x coordinate.	21,539	87	[]
volunteer	So now you need to calculate the log base 10 of 10	21,539	88	[]
student	that will be 1	21,539	89	[]
student	option (b) is right answer.	21,539	90	[]
volunteer	yes	21,539	91	[]
student	I got one more question	21,539	92	[]
volunteer	How many more questions do you have?	21,539	93	[]
student	One one last question, but that's is of intergral calculus	21,539	94	[]

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