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Sup que...
positove integers, so we can do it by guess and checka⁶=x b⁶=ya²+b²= 13 obviously 9+4a³+b³=35 obviously 27+8so a,b= 2,3 or vv(x,y)= 2⁶, 3⁶ = 64, 729
[{x=(-1+√(53-4a))/2, y=a+(5+√(53-4a))/2,a(1;13,25]; {a[7;13,25],y=a+(5-√(53-4a))/2, x=(-1-√(53-4a))/2;{9,5>a, y=a+(7-√(77-4a)))/2,x=(1-√(77-4a))/2.
Sup que...
positove integers, so we can do it by guess and check
a⁶=x b⁶=y
a²+b²= 13 obviously 9+4
a³+b³=35 obviously 27+8
so a,b= 2,3 or vv
(x,y)= 2⁶, 3⁶ = 64, 729
[{x=(-1+√(53-4a))/2, y=a+(5+√(53-4a))/2,a(1;13,25]; {a[7;13,25],y=a+(5-√(53-4a))/2, x=(-1-√(53-4a))/2;{9,5>a, y=a+(7-√(77-4a)))/2,x=(1-√(77-4a))/2.