Algebra 2 URGENT PLEASE HELP

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Solve. If the equation has no real solution, say so.
Square root 3x+4 =x

  • Algebra 2 URGENT PLEASE HELP -

    Is it √(3x+4) or √(3x) + 4 ?

    If first version

    √(3x+4) = x
    square both sides
    3x+4 = x^2
    x^2 - 3x - 4 = 0
    (x-4)(x+1) = 0
    x = 4 or x = -1

  • Algebra 2 URGENT PLEASE HELP -

    I pressed "post answer" too soon
    Of course since we squared both sides, extraneous roots could have been introduced, so all answers have to be verified.
    if x = 4
    LS = √(12+4)
    = √16 = 4 = RS

    if x = -1
    LS = √1 = 1
    RS = -1

    so x = 4 is the only solution.

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