If you divide one of the roots of the equation 4x^2 +bx −27=0 by the other root, the quotient will be −3. Find b.

1 answer

If the roots are m and n, then
mn = -27/4
Now, we have m/n = -3, so m=-3n
-3n^2 = -27/4
n = ±3/2
m = ∓9/2
(2x±3)(2x∓9) = 0
4x^2 ∓ 12x - 27
b = ±12