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)

## Answer this Question

## Related Questions

- Algebra - The equation x^2+px+q=0, q cannot be equal to 0, has two unequal roots...
- maths - If the roots of the eqn 1/(x+p) + 1/(x+p) = 1/r are equal in magnitude ...
- Adv algebra - The equation x^2+px+q=0, q cannot be equal to 0, has two unequal ...
- Math - The equation x^2+px+q=0, q cannot be equal to 0, has two unequal roots ...
- Algebra - Given the roots, 1/2 and 4, find: (A) The quadratic equation 2x^2-9x+4...
- algebra 2 - how is 7-3i + 7+3i = 14/1 we're doing sum and product of roots, and ...
- ^Math.^ Pls,I need help - QUESTION: Find the quadratic equation,which has ...
- math - If the sum of the roots of 2 x squared - 6 x + 7 equals zero is ...
- Alg 2 - By what amount does the sum of the roots exceed the product of the roots...
- amath - The roots of the quadratic equation x^2-mx+n=0 ,where m and n are ...