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Math Help - Nonlinear Systems of Equations Problem Exercies

  1. #1
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    Nonlinear Systems of Equations Problem Exercies

    Nonlinear Systems of Equations Problem Exercies
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  2. #2
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    Re: Nonlinear Systems of Equations Problem Exercies

    To begin with (2x)^2 is NOT equal to 2x^2.

    If y^2= x^2- 1 y is NOT equal to x- 1

    You seem to be having extreme difficulty with square roots! In general [itex]\sqrt{ax^2+ b[/tex] is NOT equal to ax+ b.
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  3. #3
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    Re: Nonlinear Systems of Equations Problem Exercies

    13. y = \sqrt{x} , y = 2x

    2x = \sqrt{x}

    (2x)^2 = (\sqrt{x})^2

    4x^2 = x

    4x^2 - x = 0

    x(4x-1) = 0

    x = 0 \, , \, x = \frac{1}{4}


    19.

    x^2 + y^2 = 1

    y = x

    substitute x for y ...

    x^2 + x^2 = 1

    2x^2 = 1

    x^2 = \frac{1}{2}

    x = \pm \sqrt{\frac{1}{2}}

    btw, regarding your attempt ... note that \sqrt{-x^2+1} \ne -x + 1 get that out of your head, NOW.


    23.

    2x^2 - y^2 = 1

    x^2 - 2y^2 = -1

    multiply the second equation by -2 to eliminate the x terms ...

    2x^2 - y^2 = 1

    -2x^2 + 4y^2 = 2

    ---------------------------

    3y^2 = 3

    y = \pm 1
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  4. #4
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    Re: Nonlinear Systems of Equations Problem Exercies

    It all worked out I got it now. I over emphasized it now. How you guys upload your work on here like that ^? Is that a software or a tool on here? How do I access it?
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  5. #5
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    Re: Nonlinear Systems of Equations Problem Exercies

    it's called Latex ...

    LaTeX Help
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