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Math Help - How to solve for x?

  1. #1
    Junior Member
    Joined
    Feb 2009
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    37

    How to solve for x?

    How would you solve for x? For some reason I just can't figure them out... I greatly appreciate anyone who could help me


    #1) y= √x
    y = x^2


    #2) y=e^-x
    y=e^x

    #3) y=4-x^2
    y=1-x^2

    #4)
    y=e^x
    y=ex

    #5) y=x^3-3x+1
    x+y
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  2. #2
    MHF Contributor
    Joined
    Sep 2008
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    West Malaysia
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    Quote Originally Posted by loutja35 View Post
    How would you solve for x? For some reason I just can't figure them out... I greatly appreciate anyone who could help me


    #1) y= √x
    y = x^2


    #2) y=e^-x
    y=e^x

    #3) y=4-x^2
    y=1-x^2

    #4)
    y=e^x
    y=ex

    #5) y=x^3-3x+1
    x+y
    Hi

    (1) y^2=x ---1 (square both sides)

    y=x^2 ---2

    sub 2 into 1

    (x^2)^2=x

     <br />
x^4=x<br />

    x^4-x=0 .... continue here


    (2) y^x=e --1

    y=e^x ---2

    sub 2 into 1

    (e^x)^x=e

    e^{2x}=e

    continue here

    Can you try the rest ?
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  3. #3
    Junior Member
    Joined
    Feb 2009
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    Although you said continue here and I can see your process....I don't know how to continue forward. It looks to me like x isn't being solved for. I don't understand what I am doing wrong. Please help...thank you to anyone who can
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  4. #4
    MHF Contributor
    Joined
    Mar 2007
    Posts
    1,240

    Talking

    1) Factor. Apply the difference-of-cubes formula to x^3 - 1. Solve the two linear factors.

    2) To learn how to solve exponential equations, try here.
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