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Math Help - Can someone please break this down for me?

  1. #1
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    Can someone please break this down for me?

    X= -4√x+12
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  2. #2
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    Quote Originally Posted by HappyFeet View Post
    x= -4√x+12
    x-12=-4\sqrt x

    now, squaring both sides and solve the quadratic eqn.
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  3. #3
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    Quote Originally Posted by HappyFeet View Post
    X= -4√x+12
    What are you trying to do? Solve for x? Then:

    x = -4\sqrt{x} + 12 \Rightarrow x - 12 = -4 \sqrt{x} \Rightarrow (x - 12)^2 = 16x \Rightarrow x^2 - 40x + 144 = 0.

    One of the solutions to this equation is the solution to x = -4\sqrt{x} + 12, the other is not (it's an extraneous solution and is in fact the solution to x = 4\sqrt{x} + 12).
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