solve-for-integer-x-y-4x-2-9y-2-6-

Question Number 187 by 123456 last updated on 25/Jan/15

solve for integer x, y

4 x^{2} - 9 y^{2} = 6

Answered by ghosea last updated on 16/Dec/14

(2 x - 3 y) (2 x + 3 y) = 2 \cdot 3 o r 1.6 o r - 1, - 6 o r - 2, - 3

since (2 x - 3 y) a n d (2 x + 3 y) are both integers

both must be a factor of 6, like 1, 6 o r 2, 3

none of the factors give an integer solution

for x a n d y

so the given equation has no integer solution .

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