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Problem Solving (PS) | Re: GMAT Club Olympics 2024 (Day 1): ­If 2 is one solution of the equation

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Bunuel wrote:

­If 2 is one solution of the equation \(x^2 + b^2x = 12\), where b is a constant, which of the following could be the value of \(bx\)?

I. -12
II. 8
III. 12

A. I only
B. II only
C. III only
D. I and II only
E. I and III only­

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­Solution: Answer is E. 
 4+2b^2=12  => b= +/-(2)

=> x^2 + 4x-12=0
=> (x-2)(x+6)=0
=> x= 2, -6
=> bx= 4,-4,12,-12

Statistics : Posted by rajrishavraj • on 08 Jul 2024, 07:00 • Replies 204 • Views 5172



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