Question

Solving Quadratic Equations by Completing the Square 4x2-8x+1

The answer is 1.866 and 0.133
Show the process​

Answer 1

4x² - 8x + 1 = 0

4x² - 8x = -1

4(x² - 2x + 1) = 3

4(x - 1)² = 3

(x - 1)² = 3/4

x - 1 = ±(1/2)√3

x = 1 ± (1/2)√3 = (2 ± √3)/2

= 0.134, 1.866