SOLUTION: Find the values of the unknown by completing the square : (-1/4)x^2 - (6/4)x - 1 = 0

Algebra ->  Equations -> SOLUTION: Find the values of the unknown by completing the square : (-1/4)x^2 - (6/4)x - 1 = 0      Log On


   



Question 1010266: Find the values of the unknown by completing the square : (-1/4)x^2 - (6/4)x - 1 = 0
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Better if you are permitted to....
%28-4%29%28%28-1%2F4%29x%5E2-%286%2F4%29x-1%29=-4%2A0

x%5E2%2B6x%2B4=0
Completing the square for this is now simpler.
The term to use is %286%2F2%29%5E2=3%5E2=9.

x%5E2%2B6x%2B9%2B4-9=0

%28x%2B3%29%5E2-5=0----------and just solve for x from this form.