Posted by **Candice** on Tuesday, June 9, 2009 at 6:39am.

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 -
**Reiny**, Tuesday, June 9, 2009 at 9:29am
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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