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19 February, 15:22

What number must be added to complete the square?

x²-20x = 17

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  1. 19 February, 17:44
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    Halve the linear coefficient, then square it.

    (-20/2) ^2

    (-10) ^2

    100

    So you would add 100 to both sides to complete the square

    x^2-20x+100=117 now the left side is a perfect square

    (x-10) ^2=117
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