Question Number 106378 by mr W last updated on 04/Aug/20 Answered by Dwaipayan Shikari last updated on 05/Aug/20 $$\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{4}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{6}}\right)….{n} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{{n}} {\prod}}\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}{n}}\right)={y} \\ $$$${log}\left(\underset{{n}=\mathrm{1}}…
Question Number 106364 by Study last updated on 04/Aug/20 $$\mathrm{0}^{{i}} =????? \\ $$ Commented by Study last updated on 04/Aug/20 $${help}\:{me} \\ $$ Commented by…
Question Number 40813 by behi83417@gmail.com last updated on 27/Jul/18 Commented by MrW3 last updated on 28/Jul/18 $${x}={y}={z}=\mathrm{2} \\ $$ Commented by MrW3 last updated on…
Question Number 40814 by behi83417@gmail.com last updated on 27/Jul/18 Commented by MrW3 last updated on 27/Jul/18 $${x}=\mathrm{0},\:{y}=\mathrm{1} \\ $$$${or} \\ $$$${x}=\mathrm{1},\:{y}=\mathrm{0} \\ $$ Commented by…
Question Number 171873 by Mikenice last updated on 21/Jun/22 $${solve}: \\ $$$$\frac{{x}+\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}{{x}−\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}\:−\frac{{x}−\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}{{x}+\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}\:\:=\mathrm{8}{x}\sqrt{{x}^{\mathrm{2}} −\mathrm{3}{x}+\mathrm{2}} \\ $$ Commented by infinityaction last updated on…
Question Number 171872 by Shrinava last updated on 21/Jun/22 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{real}\:\mathrm{numbers}: \\ $$$$\frac{\mathrm{1}}{\mathrm{1}\:+\:\mathrm{tan}^{\mathrm{4}} \:\mathrm{x}}\:\:+\:\:\frac{\mathrm{1}}{\mathrm{10}}\:\:=\:\:\frac{\mathrm{2}}{\mathrm{1}\:+\:\mathrm{3}\:\mathrm{tan}^{\mathrm{2}} \:\mathrm{x}} \\ $$ Answered by aleks041103 last updated on 21/Jun/22 $${t}={tan}^{\mathrm{2}} {x}…
Question Number 171869 by Mikenice last updated on 21/Jun/22 $${find}\:{the}\:{square}\:{root}\:{of}: \\ $$$$\sqrt{\frac{\mathrm{7}{x}^{\mathrm{2}} +\mathrm{2}\sqrt{\mathrm{14}}\:{x}+\mathrm{2}}{{x}^{\mathrm{2}} −\frac{\mathrm{1}}{\mathrm{2}}{x}\:+\frac{\mathrm{1}}{\mathrm{6}}}} \\ $$ Answered by floor(10²Eta[1]) last updated on 21/Jun/22 $$\mathrm{found}\:\mathrm{it},\:\mathrm{it}'\mathrm{s}\:\mathrm{right}\:\mathrm{above}\:\mathrm{my}\:\mathrm{answer} \\…
Question Number 171871 by Mikenice last updated on 21/Jun/22 $${solve}: \\ $$$$\frac{{x}+\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}{{x}−\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}\:\:+\:\:\frac{{x}−\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}{{x}+\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}\:=\mathrm{98} \\ $$ Commented by infinityaction last updated on 21/Jun/22…
Question Number 171868 by Mikenice last updated on 21/Jun/22 $${solve}: \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{1997}\left({x}−{y}\right),{find}\:{the}\:{positive}\:{integer}\:{solution}. \\ $$ Commented by Rasheed.Sindhi last updated on 21/Jun/22 $$\left({x},{y}\right)=\left(\mathrm{170},\mathrm{145}\right)… \\…
Question Number 171866 by Mikenice last updated on 21/Jun/22 $$\sqrt{{a}}+\sqrt{{b}}=\sqrt{\mathrm{2009}}.\:{find}\:{a}\:{and}\:{b}. \\ $$ Commented by infinityaction last updated on 21/Jun/22 $$\left\{\left(\mathrm{0},\mathrm{2009}\right),\left(\mathrm{41},\mathrm{41}×\mathrm{63}\right)\left(\mathrm{41}×\mathrm{4},\mathrm{41}×\mathrm{25}\right)\right. \\ $$$$\left.\left(\mathrm{41}×\mathrm{9},\mathrm{41}×\mathrm{16}\right)…\right\} \\ $$ Terms…