Question Number 145187 by mathdanisur last updated on 03/Jul/21 $$\left(\sqrt[{\mathrm{3}}]{\mathrm{3}}\:+\:\sqrt[{\mathrm{5}}]{\mathrm{5}}\right)^{\mathrm{120}} \\ $$$${How}\:{many}\:{single}\:{units}\:{are}\:{there}\:{at} \\ $$$${the}\:{opening}\:{of}\:{the}\:{binomial} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 145186 by mathdanisur last updated on 03/Jul/21 $${f}:\mathbb{R}\rightarrow\mathbb{R} \\ $$$${f}\left({x}-\mathrm{1}\right)+{f}\left({x}+\mathrm{1}\right)=\sqrt{\mathrm{3}}\centerdot{f}\left({x}\right)\:;\:\forall{x}\in\mathbb{R} \\ $$$${find}\:\:{f}\left({x}-\mathrm{1}\right)+{f}\left({x}+\mathrm{5}\right)=? \\ $$ Commented by mathdanisur last updated on 03/Jul/21 $${a}\:{lot}\:{cool}\:{Ser}\:{thank}\:{you} \\…
Question Number 14109 by FilupS last updated on 28/May/17 $$\left({a}^{{p}} −{a}\right)\:\mathrm{mod}\:{p}\:=\:\mathrm{0} \\ $$$$\mathrm{when}\:\mathrm{is}\:\mathrm{this}\:\mathrm{true}? \\ $$$${a},{p}\in\mathbb{Z} \\ $$ Commented by ajfour last updated on 28/May/17 $${a}={p}\:\:\:\:\:{or}\:{just}…
Question Number 145174 by mathdanisur last updated on 02/Jul/21 Answered by mr W last updated on 02/Jul/21 Commented by mr W last updated on 02/Jul/21…
Question Number 79635 by TawaTawa last updated on 26/Jan/20 $$\mathrm{Sum}:\:\:\frac{\mathrm{1}}{\mathrm{1}}\:+\:\frac{\mathrm{1}}{\mathrm{1}\:+\:\mathrm{2}}\:+\:\frac{\mathrm{1}}{\mathrm{1}\:+\:\mathrm{2}\:+\:\mathrm{3}}\:+\:…\:\:+\:\:\frac{\mathrm{1}}{\mathrm{1}\:+\:\mathrm{2}\:+\:\mathrm{3}\:+\:…\:+\:\mathrm{8016}} \\ $$ Commented by mr W last updated on 26/Jan/20 $$=\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}+\mathrm{3}+…+{k}} \\ $$$$=\mathrm{2}\underset{{k}=\mathrm{1}}…
Question Number 145154 by mathdanisur last updated on 02/Jul/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 79613 by ajfour last updated on 26/Jan/20 $$\mathrm{3}{xy}\left(\mathrm{2}{x}−{y}\right)−\mathrm{3}{bx}+\mathrm{3}{c}=\mathrm{0} \\ $$$$\mathrm{3}{xy}\left({x}−\mathrm{2}{y}\right)−\mathrm{3}{by}−\mathrm{3}{c}=\mathrm{0} \\ $$$${find}\:{non}-{zero},\:{real}\:{values} \\ $$$${of}\:{x},{y}\:\:{if}\:{b},{c}\in\mathbb{R}. \\ $$ Answered by behi83417@gmail.com last updated on 26/Jan/20…
Question Number 145137 by loveineq last updated on 02/Jul/21 $$\mathrm{Let}\:{a}\geqslant{b}\geqslant{c}\geqslant\mathrm{0}\:\mathrm{and}\:{a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} \:=\:\mathrm{3}.\:\mathrm{Prove}\:\mathrm{that} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{a}^{\mathrm{3}} +\left({b}+{c}\right)^{\mathrm{3}} \:\leqslant\:\mathrm{9} \\ $$ Commented by justtry last updated on…
Question Number 14046 by RasheedSindhi last updated on 27/May/17 $$\mathrm{Calculate}:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\sqrt{\omega} \\ $$ Answered by prakash jain last updated on 27/May/17 $${w}={e}^{\mathrm{2}\pi{i}/\mathrm{3}} \\ $$$${w}^{\mathrm{1}/\mathrm{2}}…
Question Number 145113 by imjagoll last updated on 02/Jul/21 Answered by liberty last updated on 02/Jul/21 $$\Rightarrow\mathrm{5}\left({x}^{\mathrm{4}} +{x}^{\mathrm{2}} +\mathrm{1}−\mathrm{2}{x}^{\mathrm{3}} +\mathrm{2}{x}^{\mathrm{2}} −\mathrm{2}{x}\right)=\left(\mathrm{9}{x}^{\mathrm{2}} +\mathrm{9}\right)\left({x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{1}\right) \\ $$$$\Rightarrow\mathrm{5}{x}^{\mathrm{4}}…