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
A) 5/2
B) 10/3
C) 7/2
D) 14/3
E) 11/2
E
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
