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10 February, 03:29

Solve the equation by completing the square. Round to the nearest hundredth.

x^2+6x=-7

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  1. 10 February, 04:38
    0
    To complete a square, both side add (half of b) squared.

    in this case, b=6, half of 6 is 3, so

    x²+6x+3²=-7+3²

    notice the left side is now a square: (x+3) ²=2

    solve: x+3=√2, or x+3=-√2

    so x=-3+√2, or x=-3-√2
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