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larger root of the equation 2x^2 + 5x = 12 exceed the smalle

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by Needgmat » Sat Sep 17, 2016 10:56 pm
By how much does the larger root of the equation 2x^2 + 5x = 12 exceed the smaller root?

A) 5/2

B) 10/3

C) 7/2

D) 14/3

E) 11/2

E
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by [email protected] » Sun Sep 18, 2016 11:50 am
Hi Needgmat,

This question asks us to compare the two roots of the following equation:

2X^2 + 5X = 12

We're asked for the DIFFERENCE between the two roots.

While this is a slightly tougher looking Quadratic, the rules behind how to 'break down' the equation into pieces are the same as any other standard Quadratic...

2X^2 + 5X - 12 = 0

(X + 4)(2X - 3) = 0

X = -4, +3/2

The difference is 3/2 - (-4) = 11/2

Final Answer: E

GMAT assassins aren't born, they're made,
Rich
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by Needgmat » Mon Sep 19, 2016 8:03 am
[email protected] wrote:Hi Needgmat,

This question asks us to compare the two roots of the following equation:

2X^2 + 5X = 12

We're asked for the DIFFERENCE between the two roots.

While this is a slightly tougher looking Quadratic, the rules behind how to 'break down' the equation into pieces are the same as any other standard Quadratic...

2X^2 + 5X - 12 = 0

(X + 4)(2X - 3) = 0

X = -4, +3/2

The difference is 3/2 - (-4) = 11/2

Final Answer: E

GMAT assassins aren't born, they're made,
Rich
Hi Rich ,

Thank you so much for your reply. It really helps.

Thanks,

Kavin
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