Answer:
x= 3±sqrt(15)
Step-by-step explanation:
x^2 -6x = 6
Take the coefficient of x
-6
Divide by 2
-6/2 = -3
Square it
(-3)^2 = 9
Add this to each side
x^2 -6x+9 = 6+9
(x-3)^2 = 15
Take the square root of each side
sqrt((x-3)^2) = ±sqrt(15)
x-3 = ±sqrt(15)
Add 3 to each side
x-3+3 = 3±sqrt(15)
x= 3±sqrt(15)
