Respuesta :

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