Answer:
x = 1/2 ± √2 / 2
Step-by-step explanation:
4x²-4x-1=0
Roots: x = (-b ± √b² - 4ac) / 2a a=4 b=-4 c=-1
x = (- -4 ± √(-4)² - 4*4*(-1)) / 2*4
x = (4 ± √32) / 8 = (4 ± 4√2) / 8 = 1/2 ± √2 / 2