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Question-202016




Question Number 202016 by sonukgindia last updated on 18/Dec/23
Answered by MM42 last updated on 18/Dec/23
x^(55) −1=253×8k⇒“x” is odd  (x−1)(x^(54) +x^(53) +...+1)=253×8k  x−1=8k′⇒x≡^8 1
$${x}^{\mathrm{55}} −\mathrm{1}=\mathrm{253}×\mathrm{8}{k}\Rightarrow“{x}''\:{is}\:{odd} \\ $$$$\left({x}−\mathrm{1}\right)\left({x}^{\mathrm{54}} +{x}^{\mathrm{53}} +…+\mathrm{1}\right)=\mathrm{253}×\mathrm{8}{k} \\ $$$${x}−\mathrm{1}=\mathrm{8}{k}'\Rightarrow{x}\overset{\mathrm{8}} {\equiv}\mathrm{1} \\ $$

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