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Algerbra

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if possible, solve the nonlinear system of equations.
x^2+y^2=58
y-x=4

  • Algerbra - ,

    from the 2nd ---> y = x+4
    sub into the 1st

    x^2 + (x+4)^2 = 58
    2x^2 + 8x+16-58 = 0
    x^2 + 4x - 21 = 0
    (x+7)(x-3) = 0
    x = -7 or x = 3

    if x = -7, y = -7+4 = -3
    if x = 3 , y = 3+4 = 7

    x=3, y=7
    or
    x=-7, y = -3

  • Algerbra - ,

    thank you x)

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