SOLUTION: 1/4x^2+4x+9 rewrite the quadratic portion of the algebraic expression as the sum or difference of two squares by completeing the square.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 1/4x^2+4x+9 rewrite the quadratic portion of the algebraic expression as the sum or difference of two squares by completeing the square.      Log On


   

Question 890961: 1/4x^2+4x+9 rewrite the quadratic portion of the algebraic expression as the sum or difference of two squares by completeing the square.
Found 2 solutions by Tatiana_Stebko, josgarithmetic:
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
"sum or difference of two squares", from a trinomial? Not likely.

%281%2F4%29%28x%5E2%2B16x%2B36%29, assuming your "1/4" is a factor for the x^2 term only. (You showed no other grouping symbols.)

Square term to Complete the Square is %2816%2F2%29%5E2=64.
%28x%5E2%2B16x%2B64-64%2B36%29
%28x%2B8%29%5E2-28
The best you can do for what you ask is %28%28x%2B8%29-sqrt%2828%29%29%28%28x%2B8%29%2Bsqrt%2828%29%29 to represent your difference of two squares. Maybe this means that what you wanted were %28x%2B8%29%5E2-%28sqrt%2828%29%29%5E2.