Question Number 48055 by F_Nongue last updated on 21/Nov/18 $${Solve}\:{the}\:{system}: \\ $$$$\begin{cases}{{x}^{\mathrm{3}} +{x}^{\mathrm{2}} {y}−\mathrm{4}{xy}^{\mathrm{2}} −\mathrm{4}{y}^{\mathrm{3}} =\mathrm{0}}\\{{x}^{\mathrm{2}} −\mathrm{2}{xy}−\mathrm{3}{y}^{\mathrm{2}} −{x}−{y}=\mathrm{0}}\end{cases} \\ $$ Commented by tanmay.chaudhury50@gmail.com last updated…
Question Number 179105 by Shrinava last updated on 24/Oct/22 $$\mathrm{1}.\:\mathrm{Compare}:\:\:\:\pi^{\mathrm{2022}\boldsymbol{\mathrm{e}}} \:\:\:\mathrm{and}\:\:\:\mathrm{e}^{\mathrm{2022}\boldsymbol{\pi}} \\ $$$$\mathrm{2}.\:\mathrm{Compute}\:\mathrm{value}\:\mathrm{of}\:\:\:\mathrm{P}\:=\:\pi^{\boldsymbol{\pi}^{\boldsymbol{\pi}^{…^{\boldsymbol{\pi}} } } } \\ $$ Answered by MJS_new last updated on 25/Oct/22…
Question Number 179100 by mr W last updated on 24/Oct/22 $${if}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{xy}=\mathrm{5},\:{find}\:{the}\:{range}\:{of} \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} −{xy}. \\ $$$$\left({x},{y}\:\in\mathbb{R}\right) \\ $$ Commented by Frix last…
Question Number 179095 by SAMIRA last updated on 24/Oct/22 Commented by HeferH last updated on 24/Oct/22 $${x}_{\mathrm{1}} =\mathrm{1};\:{x}_{\mathrm{2}} =\mathrm{0}\: \\ $$$$\: \\ $$ Answered by…
Question Number 179090 by CrispyXYZ last updated on 24/Oct/22 $$\mathrm{Given}\:{a}>\mathrm{0},\:{b}>\mathrm{0},\:{c}>\mathrm{2},\:{a}+{b}=\mathrm{1}. \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\:\frac{\mathrm{3}{ac}}{{b}}+\frac{{c}}{{ab}}+\frac{\mathrm{6}}{{c}−\mathrm{2}}. \\ $$ Commented by Frix last updated on 24/Oct/22 $$\mathrm{24} \\ $$ Answered…
Question Number 179064 by HeferH last updated on 24/Oct/22 Commented by HeferH last updated on 24/Oct/22 $${is}\:{this}\:{correct}? \\ $$ Commented by Rasheed.Sindhi last updated on…
Question Number 47993 by F_Nongue last updated on 18/Nov/18 $${Solve}\:{in}\:\mathbb{R} \\ $$$$\sqrt[{\mathrm{3}}]{\mathrm{59}+\sqrt{{x}−\mathrm{2}}}+\sqrt[{\mathrm{3}}]{\mathrm{12}−\sqrt{{x}−\mathrm{11}}}=\mathrm{6} \\ $$ Commented by tanmay.chaudhury50@gmail.com last updated on 18/Nov/18 $${x}=\mathrm{27} \\ $$ Commented…
Question Number 179063 by sciencestudent last updated on 24/Oct/22 $${why}\:{is}\:{not}\:{a}\:{polynomial}\:\sqrt{\mathrm{25}{x}^{\mathrm{8}} }\:\:? \\ $$ Commented by sciencestudent last updated on 24/Oct/22 $$? \\ $$ Commented by…
Question Number 179062 by sciencestudent last updated on 24/Oct/22 $${why}\:{is}\:{not}\:{it}\:{a}\:{polynomial}\:\mid\mathrm{10}−\mathrm{2}{y}\mid? \\ $$ Commented by sciencestudent last updated on 24/Oct/22 $$? \\ $$ Answered by Tokugami…
Question Number 47986 by behi83417@gmail.com last updated on 17/Nov/18 Commented by maxmathsup by imad last updated on 18/Nov/18 $$\left.\mathrm{2}\right)\:\left({e}\right)\:\Leftrightarrow\:\frac{\mathrm{1}−{x}^{\mathrm{8}} }{\mathrm{1}−{x}}\:=\mathrm{0}\:\:\Leftrightarrow\:{x}^{\mathrm{8}} =\mathrm{1}\:\:\:{and}\:{x}\neq\mathrm{1}\:\:\:{x}={r}\:{e}^{{i}\theta} \:\Rightarrow{r}^{\mathrm{8}} \:{e}^{{i}\mathrm{8}\theta} ={e}^{{i}\mathrm{2}{k}\pi} \:\Rightarrow…