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Math Help - I need help / complete solutions for 2 problems

  1. #1
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    I need help / complete solutions for 2 problems

    Give all solutions of each nonlinear systems of equations, including those with nonreal complex components.



    x2+y2=10 x2+y2=4
    2x2 -y2=17 2x-3y2=-12
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  2. #2
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    Two seperate problems
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  3. #3
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    Hi,

    solving the equation here
    adding the equations here u will get
    3x^2=27
    x^2=9
    x=3
    and substitute x=3
    y^2=10-9
    y=1

    for second answer
    multiplying 3 in first part then add both the equation
    5x^2=0
    x=0
    when x=0 in first part then y=2

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  4. #4
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    Hello, norwoodjay!

    Solve the systems of equations:

    . . .x + y .= .10 . [1]
    . . 2x - y .= .17 . [2]

    Add [1] and [2]: .3x = 27 . . x = 9 . . x = 3


    Substitute into [1]: .(3) + y .= .10 . . y = 1 . . y = 1


    Solutions: .(3,1), (3,-1), (-3,1), (-3,-1)




    . . x + y .= . 4 .[1]
    . .2x - 3y .= -12 .[2]

    Multiply [1] by 3: .3x + 3y .= .12
    . . . . . . Add [2]: . 2x .- .3y .= -12

    And we have: .3x + 2x .= .0 . . x(3x + 2) .= .0

    . . Hence: .x .= .0, -2/3


    Substitute into [1] and we get: .y .= .2, 4√2/3


    Solutions: . (0, 2), .(-2/3, 4√2/3)


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  5. #5
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    Thanks alot.
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