Verified answer

4X² - 2X - 1 = 0

delta = b² 0 4ac = 4 + 16 = 20 = 2V5

x' =( 2 +V20 )/8 ou ( 2 + 2V5)/8 = 2( 1 + V5)8 = ( 1 +V5)/4

x" =*( 2 - V20) 8 ou ( 2 - 2V5)/8 ...................... = ( 1 -V5)/4

Ola Madara

4x^2 - 2x - 1 = 0

delta

d^2 = 4 + 16 = 20

d = 2V5

x1 = (2 + 2V5)/8 = (1 + V5)/4

x2 = (2 - 2V5)/8 = (1 - V5)/4

pronto