Question Number 102784 by bobhans last updated on 11/Jul/20 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{{n}}{\mathrm{4}^{{n}} }\:=? \\ $$ Answered by Dwaipayan Shikari last updated on 11/Jul/20 $$\underset{{n}=\mathrm{1}} {\overset{\infty}…
Question Number 102771 by bramlex last updated on 11/Jul/20 $$\mathrm{x}+\frac{\mathrm{1}}{\mathrm{x}}\:=\:−\mathrm{1}\:\Rightarrow\mathrm{x}^{\mathrm{1907}} +\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{1907}} }\:?\: \\ $$ Answered by ajfour last updated on 11/Jul/20 $${x}^{\mathrm{2}} +{x}+\mathrm{1}=\mathrm{0} \\ $$$$\Rightarrow\:\:{x}=\omega,\:\omega^{\mathrm{2}}…
Question Number 102652 by Dwaipayan Shikari last updated on 10/Jul/20 $$\mathrm{2}+\mathrm{18}+\mathrm{156}+\mathrm{1388}+…{n}\:{terms} \\ $$ Commented by Dwaipayan Shikari last updated on 10/Jul/20 $${T}_{{n}} ={n}.\mathrm{7}^{{n}−\mathrm{1}} +{n}^{\mathrm{2}} \\…
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Question Number 102588 by bobhans last updated on 10/Jul/20 $${solve}\:\mathrm{109}{x}\:+\mathrm{103}{y}\:=\:\mathrm{5}\:{for}\:{x},{y}\:{are}\:{integer} \\ $$ Commented by mr W last updated on 10/Jul/20 $${see}\:{Q}\mathrm{44819} \\ $$ Commented by…
Question Number 102581 by bemath last updated on 10/Jul/20 $${If}\:{x}+{iy}\:=\:\mathrm{3}+\mathrm{2}{xi}\: \\ $$$$.\:{find}\:{y} \\ $$ Answered by bemath last updated on 10/Jul/20 Answered by Rasheed.Sindhi last…
Question Number 102467 by bemath last updated on 09/Jul/20 $${hello}\:{friends},\:{is}\:{zero}\:{an}\: \\ $$$${even}\:{or}\:{odd}\:{number}\:{or}\:{not}\: \\ $$$${both}? \\ $$ Commented by Dwaipayan Shikari last updated on 09/Jul/20 $${even}…
Question Number 167725 by Rasheed.Sindhi last updated on 23/Mar/22 $${Q}#\mathrm{167612}\:{reposted}. \\ $$$$\mathcal{D}{etermine}\:{all}\:{the}\:{possible}\:{triples} \\ $$$$\left({a},{b},{c}\right)\:{of}\:{positive}\:{integers}\:{for}\:{which} \\ $$$${ab}−{c},{bc}−{a}\:{and}\:{ca}−{b}\:{are}\:{powers}\:{of} \\ $$$$\mathrm{2}. \\ $$ Commented by Tinku Tara last…
Question Number 167650 by Rasheed.Sindhi last updated on 22/Mar/22 $$\left.\begin{matrix}{\:\:\:\:\:\:\:\:\:{a}^{\mathrm{2}} +{b}^{\mathrm{2}} ={c}^{\mathrm{2}} }\\{{a}+{b}+{c}=\mathrm{1000}}\end{matrix}\right\};\:\overset{?} {{a}},\:\:\overset{?} {{b}},\:\:\overset{?} {{c}}\in\mathbb{Z} \\ $$$${Q}#\mathrm{167533}\:\mathrm{reposted} \\ $$ Commented by Ari last updated…
Question Number 101888 by bemath last updated on 05/Jul/20 $${If}\:{x}\:{an}\:{integer}\:{when}\:{divided} \\ $$$$\mathrm{5}\:{give}\:{remainder}\:\mathrm{2}\:{and}\:{when}\:{divided} \\ $$$$\mathrm{4}\:{give}\:{remainder}\:\mathrm{3}. \\ $$$${find}\:{the}\:{value}\:{of}\:{x} \\ $$ Commented by Rasheed.Sindhi last updated on 05/Jul/20…