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    Quadratic Equations : Making a Perfect Square

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    What must be added to each of the following expressions to obtain a perfect square?

    a) x^2 + 5x
    b) a^2 + 2ka
    c) c^2 - 4c

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    Solution Preview

    a) x^2 + 5x

    The coefficient of x is 5. Half of this is 5/2

    x^2 + 5x + (5/2)^2 = (x + ...

    Solution Summary

    The constant that needs to be added to turn an expression into a perfect square is found.