solve x^2-4x-8=0

Answer 1

To solve the equation x^2 - 4x - 8 = 0, we can use the quadratic formula:

x = (-(-4) ± sqrt((-4)^2 - 4(1)(-8))) / 2(1)
x = (4 ± sqrt(16 + 32)) / 2
x = (4 ± sqrt(48)) / 2
x = (4 ± 4√3) / 2

Therefore, the two solutions are:
x = (4 + 4√3) / 2 = 2 + 2√3
or
x = (4 - 4√3) / 2 = 2 - 2√3

So, the solutions to the equation x^2 - 4x - 8 = 0 are x = 2 + 2√3 and x = 2 - 2√3.