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Math Help - Solve System of Equations

  1. #1
    Senior Member nycmath's Avatar
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    Solve System of Equations

    Solve this system of equations.

    y = x^(3/2)
    y = e^(-x)

    My Answer is x = e^(-2x/3).
    Is this right?
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  2. #2
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    Re: Solve System of Equations

    Quote Originally Posted by nycmath View Post
    Solve this system of equations.

    y = x^(3/2)
    y = e^(-x)

    My Answer is x = e^(-2x/3).
    Is this right?
    Nah. The solution to this system is in terms of the Lambert W function which I'd be surprised if you've been taught about.

    Lambert W function - Wikipedia, the free encyclopedia

    $x=\dfrac 3 2 W(\frac 2 3)$

    You sure you have the problem correctly written?
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  3. #3
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    Re: Solve System of Equations

    Quote Originally Posted by nycmath View Post
    Solve this system of equations.

    y = x^(3/2)
    y = e^(-x)

    My Answer is x = e^(-2x/3).
    Is this right?
    Far from being the "right answer", it is not even an "answer"! You must have x= a single number. No matter how complicated the right side there cannot be an "x" on the right side.
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  4. #4
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    Re: Solve System of Equations

    Quote Originally Posted by nycmath View Post
    Solve this system of equations.

    y = x^(3/2)
    y = e^(-x)

    My Answer is x = e^(-2x/3).
    Is this right?
    Part of your answer will be the values of x which satisfy this equation. The only way to do that (unless you know the Lambert W Function) is using numerical methods or getting a decimal approximation with a calculator (which also uses numerical methods).

    You then need to get the corresponding y values.
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