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7 August, 16:39

Use the process of completing the square to fill in the blanks. y = x2 + 8x + 25 y = (x + a0) 2 + a1

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  1. 7 August, 16:52
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    It would be y = (x+4) ²+9.

    To complete the square, we divide the value of b, the coefficient of x, by 2 and square it:

    (8/2) ² = 4² = 16

    We would add 16 to this in order to have a perfect square; but we would also need to subtract 16 at the end to keep it equal. This would give us:

    y = (x²+8x+16) + 25-16

    y = (x+4) ² + 9
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