What are the roots of x2 + 8x - 48 = 0?

show me the work

x^2 + 8x - 48 = 0

That is a quadratic equation where

a = 1

b = 8

c = - 48

We can solve it by using the quadratic formula:

x = [-b + - sq root (b^2 - 4ac) ] / 2a

x = [-8 + - sq root (64 - 4*1*-48) ] / 2*1

x = [-8 + - sq root (256) ] / 2

x = [-8 + - 16] / 2

x1 = 8 / 2 = 4

x2 = - 24 / 2 = - 12