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Math Help - Solve equation

  1. #1
    DBA
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    Solve equation

    I cannot figure out how to get to the solution of 12/5 for the equation:

    2x(4-x)^-1/2 - cube root(4-x)= 0

    Sorry, I do not know how to write the cube root.

    I tried to write the equation in different ways by using the laws
    x^-1/2 = 1/x^1/2

    or

    cube root(x) = x^1/3

    but that does not help me.

    Any idea that would help me to get in the right direction?
    Thanks
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by DBA View Post
    I cannot figure out how to get to the solution of 12/5 for the equation:

    2x(4-x)^-1/2 - cube root(4-x)= 0

    Sorry, I do not know how to write the cube root.

    I tried to write the equation in different ways by using the laws
    x^-1/2 = 1/x^1/2

    or

    cube root(x) = x^1/3

    but that does not help me.

    Any idea that would help me to get in the right direction?
    Thanks
    Could that be because 12/5 is not a solution of that equation? The actual root apprars to be close to 1.2.

    CB
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  3. #3
    DBA
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    Thank you for the hint. I did not plug in the solution. I need to check the exercise again, seems not to be right.
    Next time I stuck, I will see if the solution is a part of the equation at all.
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  4. #4
    Senior Member pacman's Avatar
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    , by successive approximation, we have x = 1.185

    Look at the graph,



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