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2x^2+8x+3 in the form 2 (x+p) ^2+q

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  1. 29 May, 21:05
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    2 (x+2) ^2-5

    Step-by-step explanation:

    2 (x+p) ^2+q

    =2 (x^2+2px+q^2) + q

    =2x^2+4px+2p^2+q

    Comparing coefficients with the 2x^2+8x+3

    4p=8, p=2

    2p^2+q=3, Solving for q given p, q=-5

    Substituting values of p and q,

    2 (x+2) ^2-5
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