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Math Help - Solving an Equation w/ Radical

  1. #1
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    Solving an Equation w/ Radical

    We just finished up studying quadratic formulas and have now moved onto solving other types of equations. I need some help with some problems. Here are the first few
    (this sign √ = square root symbol) :

    1. 3√1-X=-2 (the square root is over the entire equation of 1-X)


    2. √8-2x=2x-2 (square root is over entire equation of 8-2x)

    Help please!!!
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  2. #2
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by Giulie View Post
    We just finished up studying quadratic formulas and have now moved onto solving other types of equations. I need some help with some problems. Here are the first few
    (this sign √ = square root symbol) :

    1. 3√1-X=-2 (the square root is over the entire equation of 1-X)


    2. √8-2x=2x-2 (square root is over entire equation of 8-2x)

    Help please!!!
    1. 3\sqrt{1-x} = -2

    Square both sides: 3^2(\sqrt{1-x})^2 = 4

    1-x = \frac{4}{9}

    x = \frac{5}{9}
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  3. #3
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    Krizalid's Avatar
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    Quote Originally Posted by e^(i*pi) View Post

    1. 3\sqrt{1-x} = -2
    no solution, range of f(x)=\sqrt x is \mathbb R_0^+.
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  4. #4
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    thanks!

    Okay,

    and so for the second problem I end up getting 4x(to the second power)-6x-4=0...and because that doesn't factor out is the right move to plug it into the quadratic formula (equation) ?
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