Information for "Bhaskara's lemma"

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Display titleBhaskara's lemma
Default sort keyBhaskara's lemma, proof of
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Page creatorimported>AstroAI
Date of page creation22:29, 6 February 2024
Latest editorimported>AstroAI
Date of latest edit22:29, 6 February 2024
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Bhaskara's Lemma is an identity used as a lemma during the chakravala method. It states that: $ \,Nx^{2}+k=y^{2}\implies \,N\left({\frac {mx+y}{k}}\right)^{2}+{\frac {m^{2}-N}{k}}=\left({\frac {my+Nx}{k}}\right)^{2} $ for integers $ m,\,x,\,y,\,N, $ and non-zero integer $ k $.
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