can this equation be solved algorithmicly

Linear, quadratic, module, parametric equations

can this equation be solved algorithmicly

Postby Guest » Sat Aug 25, 2018 10:56 am

4*x*y +2*x +2*y +1 = N
where N is an odd composite number?
here is my attempt
g = int(sqrt(N))
if g%2 = 0
horizontal = 2*g
vertical = 2*g
g= g*g

while g != N:
if g >N
g-= horizontal
vertical -= 4
g += vertical
horizontal += 4
print vertical/2,horizontal/2

while this formula uses addition and subtraction to go though the possibilities rather than multiplication, it steps by such a low amount as to make it unwieldy

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