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Math Help - solving a system

  1. #1
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    solving a system

    Hi, Im really confused on one of the problems that I have for homework.
    Solve the system:
    x^2 + 2y^2 =33
    x^2 + y^2 + 2x =19

    Thanks!
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  2. #2
    Member rtblue's Avatar
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    Birmingham, Alabama.
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    Multiply the bottom equation by 2. Subtract the bottom from the top and you should get a quadratic which you can solve.
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  3. #3
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    okay, i did it out and got -1 + square route of six, and -1 - square route of six. Did i do it right?
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  4. #4
    Member rtblue's Avatar
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    Birmingham, Alabama.
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    x^2 + 2y^2 =33
    2x^2+2y^2+4x=38

    -x^2-4x+5=0

    x^2+4x-5=0

    (x+5)(x-1)=0

    take it from there.
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  5. #5
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    ohhh ok thanks i get it now i did some stupid multiplication thing before
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  6. #6
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    Be sure you finish the problem! The reason rtblue said "take it from there" is that a solution is a pair of numbers, x and y. This problem has four separate solutions.
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