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11 December, 05:18

Find the values of a and b such that x^2-x+5 = (x-a) ^2+b

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  1. 11 December, 06:07
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    a = 0.5 or 1/2

    b = 19/4 or 4.75

    Step-by-step explanation:

    Step 1: Isolate x's

    x² - x = - 5

    Step 2: Complete the Square

    x² - x + 1/4 = - 5 + 1/4

    (x - 1/2) ² = - 19/4

    Step 3: Move everything to one side

    (x - 0.5) ² + 4.75
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