advanced math

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find the real solutions.
3+ the square root of (2x+2)=x

  • advanced math -

    3+√(2x+2) = x
    √(2x+2) = x-3
    2x+2 = (x-3)^2
    2x+2 = x^2-6x+9
    x^2-8x+7 = 0
    (x-1)(x-7) = 0
    x = 1 or 7

    check for extraneous roots:
    3+√(2+2) = 3+2 = 5 nope
    3+√16 = 3+4 = 7 ok

    so, x=7 is the only solution

    x=1 is the solution using the -√
    3-√4 = 1

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