Triginometry
posted by William .
For which equasion does the sum of the roots equal 3/4 and the product of the roots equal 2?
(a)4x^28x+3=0
(b)4x^2+8x+3=0
(c)4x^23x8=0
(d)4x^2+3x2=0

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)