Category: Algebra

Question Number 169260 by mathlove last updated on 27/Apr/22 Answered by nurtani last updated on 27/Apr/22 $$\frac{\mathrm{1}}{{x}}+\frac{\mathrm{1}}{{y}}=\frac{\mathrm{1}}{\mathrm{3}}…\left({i}\right) \\ $$$$\frac{\mathrm{1}}{{y}}+\frac{\mathrm{1}}{{z}}=\frac{\mathrm{1}}{\mathrm{6}}…\left({ii}\right) \\ $$$$\frac{\mathrm{1}}{{x}}+\frac{\mathrm{1}}{{z}}=\frac{\mathrm{1}}{\mathrm{9}}…\left({iii}\right) \\ $$$$\left({i}\right)+\left({ii}\right)+\left({iii}\right): \\ $$$$\frac{\mathrm{2}}{{x}}+\frac{\mathrm{2}}{{y}}+\frac{\mathrm{2}}{{z}}=\frac{\mathrm{11}}{\mathrm{18}}…

Question Number 169239 by mr W last updated on 26/Apr/22 Commented by infinityaction last updated on 26/Apr/22 $$\mathrm{2187}\:??? \\ $$ Commented by infinityaction last updated…

Question Number 103685 by bemath last updated on 16/Jul/20 Answered by bobhans last updated on 16/Jul/20 $${x}−\sqrt{\left(\mathrm{2}−{x}\right)\left(\mathrm{3}−{x}\right)}\:=\:\sqrt{\mathrm{4}−{x}}\left\{\sqrt{\mathrm{3}−{x}}+\sqrt{\mathrm{2}−{x}}\right\} \\ $$$$\mathrm{2}{x}^{\mathrm{2}} −\mathrm{5}{x}+\mathrm{6}−\mathrm{2}{x}\sqrt{\left(\mathrm{2}−{x}\right)\left(\mathrm{3}−{x}\right)}\:= \\ $$$$\left(\mathrm{4}−{x}\right)\left(\mathrm{5}−\mathrm{2}{x}\right)+\mathrm{2}\sqrt{\left(\mathrm{3}−{x}\right)\left(\mathrm{2}−{x}\right)} \\ $$$$\mathrm{4}{x}−\mathrm{7}\:= \\…

Question Number 169182 by mathlove last updated on 25/Apr/22 $$\underset{{x}\rightarrow\pi} {\mathrm{lim}}\frac{\pi{cos}\mathrm{2}{x}−{x}}{\mathrm{1}+{cosx}}=? \\ $$ Commented by infinityaction last updated on 25/Apr/22 $${use}\:{l}\:{hospital}\:{rule} \\ $$$$\:\:\:\:{p}\:\:\:=\:\:\:\underset{{x}\rightarrow\pi} {\mathrm{lim}}\:\frac{−\mathrm{2}\pi\mathrm{sin}\:\mathrm{2}{x}\:−\:\mathrm{1}}{−\mathrm{sin}\:{x}} \\…

Question Number 103603 by Quvonchbek last updated on 16/Jul/20 Commented by Quvonchbek last updated on 16/Jul/20 $${prove} \\ $$ Terms of Service Privacy Policy Contact:…