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Math Help - (SIMULTANEOUS) How to solve 4x+12=x^2+8y^2=2y+5x+6

  1. #1
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    Question (SIMULTANEOUS) How to solve 4x+12=x^2+8y^2=2y+5x+6

    Solve it without a GC.

    Answers given: x=6, y=0 or x=10/3, y=4/3

    I got the 2nd set of answers but i can't seem to get x=6 and y=0

    Please help me thank you! If possible please include explanation. Once again, thank you
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  2. #2
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    Re: (SIMULTANEOUS) How to solve 4x+12=x^2+8y^2=2y+5x+6

    Quote Originally Posted by pumbaa213 View Post
    Solve it without a GC.

    Answers given: x=6, y=0 or x=10/3, y=4/3

    I got the 2nd set of answers but i can't seem to get x=6 and y=0

    Please help me thank you! If possible please include explanation. Once again, thank you
    4x+12=2y+5x+6 \Rightarrow y=\frac{6-x}{2}

    4x+12=x^2+8y^2 \Rightarrow 4x+12=x^2+8\left(\frac{6-x}{2}\right)^2 \Rightarrow

    4x+12=3x^2-24x+72 \Rightarrow

    3x^2-28x+60=0 \Rightarrow

    (x=6)$ or $\left(x=\frac{10}{3}\right)

    x=6 \Rightarrow y=0$ and $x=\frac{10}{3} \Rightarrow y=\frac{4}{3}
    Last edited by romsek; January 24th 2014 at 04:13 AM.
    Thanks from pumbaa213
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  3. #3
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    Re: (SIMULTANEOUS) How to solve 4x+12=x^2+8y^2=2y+5x+6

    Thank you so much once again!
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