given , f(x)=2*(f(x-1)+g(x-1)-1)*(f(x-1)+g(x-1)-3)+12*f(x-1)-13
g(x)=(f(x-1)+g(x-1))*(f(x-1)+g(x-1)-4)+12*g(x-1)-7
here , f(0)=2,g(0)=1
if x is given how to find f(x) and g(x) when 1<=x<=10^18 and x is an non negative integer
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given , f(x)=2*(f(x-1)+g(x-1)-1)*(f(x-1)+g(x-1)-3)+12*f(x-1)-13
g(x)=(f(x-1)+g(x-1))*(f(x-1)+g(x-1)-4)+12*g(x-1)-7
here , f(0)=2,g(0)=1
if x is given how to find f(x) and g(x) when 1<=x<=10^18 and x is an non negative integer
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Auto comment: topic has been updated by travelers (previous revision, new revision, compare).
They published the Solution.
thnx