SOLUTION: Find the constant that must be added to each binomial expression to form a perfect-square trinomial. x^2 +18x

Question 133262: Find the constant that must be added to each binomial expression to form a perfect-square trinomial.
x^2 +18x
Found 2 solutions by vleith, stanbon:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
In order to be a perfect square, the quadratic equation will be of the form

In this case (x^2 + 18x), and

so b^2 = (9 * 9) = 81
So the square would be

Add 81 to make the square
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the constant that must be added to each binomial expression to form a perfect-square trinomial.
x^2 +18x
---------------
Step One: Divide the coefficient of "x" by 2 to get 9
Step Two: Square the result of step One to get 81
---------------
Add 81
You get x^2 + 18x + 81 = (x+9)^2
====================================
Cheers,
Stan H.
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