x^2 + 3x + 8 = 0 ( solve the quadratic equation)

Answer 1

Because this does factor "nice"ly, will need to use the Quadratic Formula.

x = [ -b + sqrt(b²-4ac) ] / (2a)

For us, a=1, b=3, c=8

x = [ -3 + sqrt[ 9-4(1)(8) ] ]/ (2(1)

x = [ -3 + sqrt(-23) ] / 2

Two solutions are:

x = -(3/2) - i(√23)/2

and

x = -(3/2) + i(√23)/2