Posted by **William** on Friday, January 1, 2010 at 10:23pm.

For which equasion does the sum of the roots equal 3/4 and the product of the roots equal -2?

(a)4x^2-8x+3=0

(b)4x^2+8x+3=0

(c)4x^2-3x-8=0

(d)4x^2+3x-2=0

- Triginometry -
**MathMate**, Friday, January 1, 2010 at 10:53pm
For the general quadratic equation

ax²+bx+c=0

the sum of the roots is -b/a,

and the product of the roots is c/a.

So we look for an equation where

-b/a = 3/4 and

c/a = -2

(a) and (b) are rejected because c/a>0

for (c),

c/a = -8/4 = -2,

-b/a = -(-3)/4 = 3/4

So the answer is (c)

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