You can put this solution on YOUR website! find the value of a such that w^2-18w+a is a perfect square.
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All you have to do is multiply the coefficient of w by .5 and square that.
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In this problem: .5 * -18 = -9; -9^2 = +81 = a
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w^2 - 18w + 81 which is (w-9)^2