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
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
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Step One: Divide the coefficient of "x" by 2 to get 9
Step Two: Square the result of step One to get 81
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Add 81
You get x^2 + 18x + 81 = (x+9)^2
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Cheers,
Stan H.
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