Math

3 Solve the simultaneous equations

x² + y² = 34
x – y = 2

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  1. x=2+y
    x^2=4+4y+y^2
    so 4+4y+y^2+y^2=34
    y^2+2y-30=0

    y=(-2+-sqrt(4+120))/1=-1+- sqrt31

    Put each of those y solutions into either equation, and solve for possible x, then test the solutions.

  2. x^2+y^2 = 34
    Hmmm. 3^2+5^2 = 34

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