Answer:
x = 2±sqrt(2)
Step-by-step explanation:
4x^2 -16 x + 8=0
Move the 8 to the right side by subtracting 8 from each side
4x^2 -16 x + 8-8=0-8
4x^2 -16 x =- 8
Get the x^2 term to have a coefficient of 1 by dividing each term by 4
x^2 -4x = -2
Take the coefficient of x and divide by 2 and then square it
-4/2 = -2
(-2 )^2 = 4
Add this to each side
x^2 - 4x +4 = -2 +4
Factor the right side into ( x +b/2)^2 where b is the coefficient of x
(x-2)^2 = 2
Take the square root of each side
x-2 = ±sqrt(2)
Add 2 to each side
x = 2±sqrt(2)
