Answer:
x = 6±sqrt( 31)
Step-by-step explanation:
x^2 -12x +5 =0
Subtract 5 from each side
x^2 -12x +5-5=0-5
x^2 -12x = -5
Take the coefficient of x
-12
Divide by 2
-12/2 =-6
Square it
(-6 )^2 = 36
Add this to each side
x^2 -12x +36= -5+36
(x-6)^2 = 31
Take the square root of each side
sqrt((x-6)^2) =±sqrt( 31)
x-6 =±sqrt( 31)
Add 6 to each side
x-6+6 =6±sqrt( 31)
x = 6±sqrt( 31)
