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This is my first page addition on wikipedia. I copied the references from the "parent" page this came from. Is that okay or should references be cited only if they were used to research the article? 05:59, 29 September 2007
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983:{\displaystyle {\frac {N(mx+y)^{2}-(my+Nx)^{2}}{k}}=-(m^{2}-N)\Longleftrightarrow {\frac {N(mx+y)^{2}-(my+Nx)^{2}}{k^{2}}}={\frac {-(m^{2}-N)}{k}}.}
697:{\displaystyle N(mx+y)^{2}-(my+Nx)^{2}=-(m^{2}-N)(y^{2}-Nx^{2})\Longleftrightarrow {\frac {N(mx+y)^{2}-(my+Nx)^{2}}{y^{2}-Nx^{2}}}=-(m^{2}-N).}
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come from? I have provided what I think is a simpler alternative proof, and if there are no objections I will delete the original later. --
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There has been no objection in six weeks so I have removed the original. It follows here in case anybody want to see it. --
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References should help later readers verify statements in the article. So they need to be relevant to this article. --
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1118:{\displaystyle N\left({\frac {mx+y}{k}}\right)^{2}+{\frac {m^{2}-N}{k}}=\left({\frac {my+Nx}{k}}\right)^{2}.}
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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We begin with an identity, verified by expansion (or substitution into the
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Suitable re-arrangement of this equation yields
Bhaskara's Lemma:
310:{\displaystyle N(mx+y)^{2}-(my+Nx)^{2}=-(m^{2}-N)(y^{2}-Nx^{2})}
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I got lost in the first line of the proof. Where did
431:{\displaystyle a=m,c=y,b=i{\sqrt {N}},c=ix{\sqrt {N}}}
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749:{\displaystyle y^{2}-Nx^{2}=k}
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