what is the solution set for x^2-6x=8
x^2 - 6x = 8 complete the square on x
x^2 - 6x + 9 = 8 + 9
(x - 3)^2 = 17 take both roots
x - 3 = ±√17 add 3 to both sides
x = 3 ±√17
It is about -1.88 and about 7.12
using the quadratic formula