If [tex]\alpha,\beta\ and\ \gamma[/tex] are the roots of the eqn.(adsbygoogle = window.adsbygoogle || []).push({});

(x-a)(x-b)(x-c)+1=0

then show that [tex](\alpha-x)(\beta-x)(\gamma-x)+1=0[/tex]

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# Olympiad Question:

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