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maths

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Let X and Y be positive integers such that X^2 + 3X + Y^2 = 404.
What is the value of X + Y^3?

Find all possible solutions.

Thanks! :)

  • maths - ,

    I ran a simple GW-Basic program

    10 FOR X = 1 TO 25
    20 FOR Y = 1 TO 25
    30 IF (X*X + 3*X + Y*Y) = 404 THEN PRINT X,Y
    40 NEXT Y
    50 NEXT X

    and it gave me values of x and y that worked, they were ...

    1 20
    13 14
    16 10
    17 8

    so x + y^3 could be 8001, 2757, or 81

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