Answer:
( 2 + √3 ) / 2, ( 2 - √3 ) / 2
Step-by-step explanation:
2x^2 - 2x = 1
2x^2 - 2x - 1 = 0
Here,
a = 2
b = - 2
c = - 1
D = b^2 - 4ac
D = ( - 2 )^2 - 4 ( 2 ) ( - 1 )
= 4 + 8
D = 12
x = - b ± √D / 2a
= - ( - 2 ) ± √12 / 2 ( 2 )
= 4 ± 2√3 / 4
= 2 ( 2 ± √3 ) / 4
= 2 ± √3 / 2
x = ( 2 + √3 ) / 2, ( 2 - √3 ) / 2
