How do you find the roots, real and imaginary, of y= -3x^2-16x +8 using the quadratic formula?

1 Answer
Oct 22, 2017

Roots are **5.7936, -0.4603**

Explanation:

Standard form of equation is ax^2 + bx + c = 0
Roots are = ((-b) +- sqrt(b^2 -(4ac)))/(2a)

Given equation is -3x^2 -16x + 8 = 0
a = -3, b = -16, c = 8

x =( -(-16) +- sqrt((-16)^2 - (4*(-3)8)))/(2*(-3))

x = (16 +- sqrt(256 + 96))/6

x = (16 +- sqrt352)/6

x = 5.7936, -0.4603