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Category: Algebra

if-a-4-1-3-2-1-3-1-find-3-a-3-a-2-1-a-3-

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Question Number 160190 by HongKing last updated on 25/Nov/21 $$\mathrm{if}\:\:\:\mathrm{a}\:=\:\sqrt[{\mathrm{3}}]{\mathrm{4}}\:+\:\sqrt[{\mathrm{3}}]{\mathrm{2}}\:+\:\mathrm{1} \\ $$$$\mathrm{find}\:\:\:\frac{\mathrm{3}}{\mathrm{a}}\:+\:\frac{\mathrm{3}}{\mathrm{a}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{a}^{\mathrm{3}} }\:=\:? \\ $$ Answered by amin96 last updated on 25/Nov/21 $$\boldsymbol{\mathrm{a}}=\frac{\left(\sqrt[{\mathrm{3}}]{\mathrm{2}}\right)^{\mathrm{3}} −\mathrm{1}}{\:\sqrt[{\mathrm{3}}]{\mathrm{2}}−\mathrm{1}}=\frac{\mathrm{1}}{\:\sqrt[{\mathrm{3}}]{\mathrm{2}}−\mathrm{1}}\:\:\:…

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5-2-x-2-5-2-x-1-x-1-gt-125-x-1-

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Question Number 160179 by cortano last updated on 25/Nov/21 $$\:\mathrm{5}^{\mathrm{2}\left({x}−\mathrm{2}\right)} \left(\mathrm{5}^{\mathrm{2}\left({x}−\mathrm{1}\right)} \right)^{\left({x}+\mathrm{1}\right)} \:>\:\mathrm{125}^{{x}−\mathrm{1}} \\ $$ Commented by yeti123 last updated on 25/Nov/21 $$\mathrm{5}^{\mathrm{2}\left({x}−\mathrm{2}\right)} \left(\mathrm{5}^{\mathrm{2}\left({x}−\mathrm{1}\right)} \right)^{\left({x}+\mathrm{1}\right)}…

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