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Re: beat this: contradicting statements [#permalink]
02 Nov 2012, 22:04

1

This post received KUDOS

Sachin9 wrote:

What is the value of x?

1)x^2 + 5x + 6 = 0 2)x^2 - 10x -24=0

1) x = -2 or x = -3. Insufficient. 2) x = -2 or x = 12. Insufficient.

1 & 2 together. x = -2. Sufficient.

The statements never contradict each other. For these statements to contradict each other, statement 2 should not have neither -2 nor -3 as a root. For the statements to be insufficient together, both statements should have more than one common root.

Kudos Please... If my post helped. _________________

Did you find this post helpful?... Please let me know through the Kudos button.

Re: beat this: contradicting statements [#permalink]
03 Nov 2012, 04:20

1

This post received KUDOS

Sachin9 wrote:

Marcab wrote:

Sachin9 wrote:

yeh Macfauz.

If we incorrectly solve 2nd equation by factoring (x-4)(x-6) , then the 2 statements would contradict..

Why would we be solving the equation incorrectly?

in case you ever do, in the heat of the pressure . then this knowledge will help you know you have gone wrong :D

You can not do the factorization incorrectly if you know the concept. The -ve sign before 24 indicates you to choose two factors of 24 and subtract it from each other to make 10. So only (12,2) this pair will satisfy.

As per your factorization (x-4)(x-6) the equation becomes x^2-10x+24(which is not in the question).

So the + or - sign before the last constant term will give u clue whether u need to add or subtract. _________________

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