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# What is the value of B in the equation AX^2+BX+C=0,where A,B,C are int

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Manager
Joined: 21 Nov 2018
Posts: 68
Location: India
GMAT 1: 680 Q48 V35
GMAT 2: 640 Q48 V29
What is the value of B in the equation AX^2+BX+C=0,where A,B,C are int  [#permalink]

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31 Mar 2019, 00:34
00:00

Difficulty:

65% (hard)

Question Stats:

47% (01:42) correct 53% (00:52) wrong based on 17 sessions

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What is the value of B in the equation AX^2+BX+C=0,where A,B,C are integers

1. Product of the roots of the equation is 16
2. One root is 4 times the other

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Director
Joined: 28 Jul 2016
Posts: 601
Location: India
Concentration: Finance, Human Resources
GPA: 3.97
WE: Project Management (Investment Banking)
Re: What is the value of B in the equation AX^2+BX+C=0,where A,B,C are int  [#permalink]

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31 Mar 2019, 00:57
1
/let the roots be $$a_{1}$$ and $$a_{2}$$
product of roots= $$a_{1} *a_{2} = \frac{c}{a}$$
and sum of roots = $$a_{1} +a_{2}=-\frac{b}{a}$$
Stmt A :product of roots= $$a_{1} *a_{2}= 16.=c/a$$ not sufficient
Stmt B : sum of roots = $$a_{1} +a_{2} =-b/a$$
$$a_{1} =4a_{2}$$ not suffcient
Combining a and B
$$a_{1} *4a_{2}$$ = 16
thus $$a1= \pm2$$
hence since their are two values.
Value of b can be 4 or -4
not unique
Thus not sufficient
Re: What is the value of B in the equation AX^2+BX+C=0,where A,B,C are int   [#permalink] 31 Mar 2019, 00:57
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