Question 91728
Solve by completing the square.
4t^2 = 8t - 1
:
4t^2 - 8t +  ___ = -1
:
WE want the coefficient of x^2 to be 1, divide equation by 4
1t^2 - (8/4)t +  ____  = -1/4
:
t^2 - 2t  + ____ = -1/4
:
Find the value to complete the square: (1/2)*2 = 1; (1)^2 = 1
t^2 - 2t + 1 = -1/4 + 1
:
t^2 - 2t + 1 = +3/4
:
(t - 1)^2 = 3/4
:
t - 1 = +/-Sqrt(3/4)
:
t = 1 +/- Sqrt(3/4)
:
you could write it: 
{{{(2 +- sqrt(3))/2}}} but this doesn't quite agree with your choices???
:
Let me know if I have made a mistake here