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Math Help - Solving for x in a polynomial with fractional exponents

  1. #1
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    Solving for x in a polynomial with fractional exponents

    Hi, I'm kinda lost where to start this problem. Any help would be great. Thanks.

    Solve for x:
    3x^\frac{3}{2} -2x=0
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  2. #2
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    Quote Originally Posted by cynlix View Post
    Hi, I'm kinda lost where to start this problem. Any help would be great. Thanks.

    Solve for x:
    3x^\frac{3}{2} -2x=0
    1. It is not a polynomial. Polynomials only have positive integer powers.

    2. Factorise and solve using the Null Factor Law.


    3x^{\frac{3}{2}} - 2x = 0

    x\left(3x^{\frac{1}{2}} - 2\right) = 0

    x = 0 or 3x^{\frac{1}{2}} - 2 = 0.


    Can you go from here?
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  3. #3
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    ah, i see it now. thank you!
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