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R.P.
R.P.
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Let m$m$ and n$n$ be positive integers less than 2000$2000$ which satisfies the equation(m^2-mn-n^2)^2=1 $(m^2-mn-n^2)^2=1$. How can we determine the largest possible value of the expression m^2+n^2.$m^2+n^2$?

Let m and n be positive integers less than 2000 which satisfies the equation(m^2-mn-n^2)^2=1 . How can we determine the largest possible value of the expression m^2+n^2.

Let $m$ and $n$ be positive integers less than $2000$ which satisfies the equation $(m^2-mn-n^2)^2=1$. How can we determine the largest possible value of the expression $m^2+n^2$?

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Subodh Khanal
Subodh Khanal
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How can we solve the following number theory problem?

Let m and n be positive integers less than 2000 which satisfies the equation(m^2-mn-n^2)^2=1 . How can we determine the largest possible value of the expression m^2+n^2.