Question Number 205063 by BaliramKumar last updated on 07/Mar/24 $$\mathrm{a}^{\mathrm{3}} \:+\:\mathrm{b}^{\mathrm{3}} \:+\:\mathrm{c}^{\mathrm{3}} \:=\:\mathrm{d}^{\mathrm{3}} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{a},\:\mathrm{b},\:\mathrm{c},\:\mathrm{d}\:\in\:\boldsymbol{\mathrm{N}} \\ $$$$\left(\mathrm{i}\right)\:\mathrm{3}^{\mathrm{3}} \:+\:\mathrm{4}^{\mathrm{3}} \:+\:\mathrm{5}^{\mathrm{3}} \:=\:\mathrm{6}^{\mathrm{3}} \:\:\:\:\:\:\:\:\:\:\:\:\mathrm{HCF}\left(\mathrm{3},\:\mathrm{4},\:\mathrm{5}\right)\:=\:\mathrm{1} \\ $$$$\mathrm{other}\:\mathrm{example}\:……….. \\ $$ Commented…
Question Number 205032 by BaliramKumar last updated on 06/Mar/24 Commented by BaliramKumar last updated on 06/Mar/24 $$ \\ $$please clarification Answered by Rasheed.Sindhi last updated…
Question Number 204979 by Simurdiera last updated on 04/Mar/24 $${factorizar} \\ $$$${x}^{\mathrm{4}} \:+\:\mathrm{1} \\ $$ Answered by Skabetix last updated on 04/Mar/24 $$=\left({x}−{x}_{\mathrm{0}} \right)\left({x}−{x}_{\mathrm{1}} \right)\left({x}−{x}_{\mathrm{2}}…
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Question Number 204844 by mr W last updated on 28/Feb/24 $${find}\:\lfloor\underset{{n}=\mathrm{1}} {\overset{\mathrm{80}} {\sum}}\frac{\mathrm{1}}{\:\sqrt{{n}}}\rfloor=? \\ $$ Commented by Frix last updated on 28/Feb/24 $$\mathrm{16} \\ $$…
Question Number 204841 by Simurdiera last updated on 28/Feb/24 $${Racionalizar}\:{el}\:{denominador} \\ $$$$\frac{\mathrm{1}\:−\:{x}}{\:\sqrt[{\mathrm{3}}]{{x}}\:−\:\sqrt{\sqrt{{x}}}} \\ $$ Commented by Frix last updated on 28/Feb/24 $$\frac{\mathrm{1}−{x}}{{x}^{\frac{\mathrm{1}}{\mathrm{3}}} −{x}^{\frac{\mathrm{1}}{\mathrm{4}}} }=−\left(\frac{{x}^{\frac{\mathrm{11}}{\mathrm{12}}} +{x}^{\frac{\mathrm{5}}{\mathrm{6}}}…
Question Number 204717 by BaliramKumar last updated on 26/Feb/24 $$\frac{\mathrm{3}^{\mathrm{0}} +\mathrm{3}^{\mathrm{1}} +\mathrm{3}^{\mathrm{2}} \:+………+\:\mathrm{3}^{\mathrm{200}} }{\mathrm{13}}\:\overset{\mathrm{Remainder}} {=}\:? \\ $$ Answered by Rasheed.Sindhi last updated on 26/Feb/24 $$\mathrm{3}^{\mathrm{0}}…
Question Number 204671 by mr W last updated on 25/Feb/24 $${if}\:{f}\left({f}\left({x}\right)\right)={x}^{\mathrm{2}} −\mathrm{3}{x}+\mathrm{4},\:{find}\:{f}\left(\mathrm{1}\right)=? \\ $$ Answered by witcher3 last updated on 25/Feb/24 $$\mathrm{f}\left(\mathrm{f}\left(\mathrm{x}\right)\right)=\mathrm{x}^{\mathrm{2}} −\mathrm{3x}+\mathrm{4} \\ $$$$\mathrm{f}\left(\mathrm{f}\left(\mathrm{1}\right)\right)=\mathrm{2}…
Question Number 204642 by BaliramKumar last updated on 24/Feb/24 $$\mathrm{If}\:\:\frac{\mathrm{1}}{\mathrm{1}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{2}} }+\:\frac{\mathrm{1}}{\mathrm{4}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{5}^{\mathrm{2}} }\:+\:………….\:=\:\frac{\pi^{\mathrm{2}} }{\mathrm{6}} \\ $$$$\mathrm{then}\:\:\frac{\mathrm{1}}{\mathrm{1}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{5}^{\mathrm{2}} }\:+\:………….\:=\:? \\ $$$$ \\ $$…
Question Number 204441 by peter frank last updated on 17/Feb/24 Commented by Frix last updated on 17/Feb/24 $$\mathrm{3}\:\mathrm{circles}\:\mathrm{plus}\:\mathrm{4}\:\mathrm{times}\:\left(\mathrm{6}\:\mathrm{minus}\:\mathrm{4}\:\mathrm{radii}\right)\:\Rightarrow \\ $$$$\mathrm{perimeter}\:=\:\mathrm{6}\pi+\mathrm{8} \\ $$ Commented by peter…