Question

Prove the equation 2x^2 + y^2 = 14 has no positive integer solutions.

Answer 1

Idk how to prove it officially but you can check all possible cases...
x=1, 2 are possible x values (3^2 is 9, so 2*3^2 = 18 which is > 14)
y=1, 2, 3 are possible y values

Answer 2

Ah, thanks for you reply sir i have gotten the same trying to see if their is a "better" way to prove it but who knows maybe this is the best way! Again, Thank You!