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Math Help - help with algebra withing calculus problem

  1. #1
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    help with algebra withing calculus problem

    Hello i need to solve for x in the this problem to prove the range

    y= sqrt((1-x2)/(1+x2))
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: help with algebra withing calculus problem

    We are given:

    y=\sqrt{\frac{1-x^2}{1+x^2}}

    To remove the radical, square both sides:

    y^2=\frac{1-x^2}{1+x^2}

    Now multiply through by 1+x^2:

    y^2+x^2y^2=1-x^2

    Arrange with terms involving x on the left, and the rest on the right:

    x^2+x^2y^2=1-y^2

    Factor the left side:

    x^2(1+y^2)=1-y^2

    Can you proceed from here?
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  3. #3
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    Re: help with algebra withing calculus problem

    Hmmm, im sorry you'll have to excuse my lack of knowledge. I haven't had math courses of any kind for several years. What is the final step you did factoring the left side. How did you completely get rid of one x^2
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  4. #4
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    Re: help with algebra withing calculus problem

    Oh nvm i got it. So then would you divide out the (1+y^2) and then take the square root of the whole thing?
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  5. #5
    MHF Contributor MarkFL's Avatar
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    Re: help with algebra withing calculus problem

    Yes, exactly!
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  6. #6
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    Re: help with algebra withing calculus problem

    awesome thanks for the help!
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