Question 91724
Solve by completing the square.
:
x^2 - 1/2x - 3/16 = 0
:
x^2 - 1/2x + ____ = +3/16
:
Find the value to complete the square, divide the coefficient of x by 2 & square
it: 1/2 * 1/2 = 1/4; (1/4)^2 = 1/16.  Add that to both sides, you have:
:
x^2 - 1/2x + 1/16 = 3/16 + 1/16
:
(x - 1/4)^2 = 4/16
:
x - 1/4 = +/-Sqrt(4/16); find the square root of both sids
:
x - 1/4 = +/- 2/4 
:
x = + 1/4 +/-2/4
:
Two solutions:
x = +1/4 + 2/4
x = +3/4
and
x = +1/4 - 2/4
x = -1/4 
:
did this help you understand "completing the square"