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by singalong » Tue Aug 09, 2011 1:39 am
If x(2x+1)=0 and (x+1/2)(2x-3)=0 then x=

A) -3
B) -1/2
C) 0
D) 1/2
E) 3/2

Answer is 0 or -1/2?

As a linear equation x(2x+1) can give both 0 and -1/2 right?
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by Anurag@Gurome » Tue Aug 09, 2011 1:57 am
singalong wrote:If x(2x+1)=0 and (x+1/2)(2x-3)=0 then x=
From x(2x + 1) = 0, we have either x = 0 or x = -1/2

For, x = 0, (x + 1/2)(2x - 3) = -3/2 ---> Doesn't satisfy equation 2
for x = -1/2, (x + 1/2)(2x - 3) = 0 ---> Satisfies equation 2

Hence, x = -1/2

The correct answer is B
As a linear equation x(2x+1) can give both 0 and -1/2 right?
x(2x + 1) = 0 is not a linear equation, it's a quadratic equation.
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by abhisays » Tue Aug 09, 2011 2:04 am
x should be -1/2 as it satisfies both the quadratic equations.

Hence answer should be B
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by singalong » Sun Oct 30, 2011 5:53 am
thanks
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by factor26 » Sun Oct 30, 2011 3:43 pm
singalong ... the best way to solve this question is to plug the answer choices into the question to see which answer choice satisfies both equations: -1/2 satisfies both equations IMO B is the way to go here
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by GmatKiss » Sun Oct 30, 2011 10:38 pm
B: -1/2
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