Prove that if ( x^{4}+y^{4}=z^{2} & x_{1}^{4}+y_{1}^{4}=z_{1}^{2} & z=m^{2}+left(z_{1} ight)^{4} ) with ( m in Z^{+} ), then ( z>z_{1} ).
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This means that \( z \) and \( z_{1} \) are both non-negative (since they are squares of real numbers). Show more…
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