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21 June, 17:56

What number must be added to the expression below to complete the square x^2-x

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  1. 21 June, 20:25
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    +1/4

    Step-by-step explanation:

    We need a formula (a-b) ^2=a^2-2ab+b^2

    We have a=x and - 2ab=x, so b=-1/2, then we add b^2 and it is 1/4.

    (X^2-x+1/4) = (x-1/2) ^2
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