Question Number 168579 by alf123 last updated on 13/Apr/22 Commented by MJS_new last updated on 14/Apr/22 $${y}=\frac{−{x}^{\mathrm{3}} +\mathrm{15}{x}^{\mathrm{2}} −\mathrm{49}{x}−\mathrm{54}}{{x}+\mathrm{1}} \\ $$$$−\infty<{y}<+\infty \\ $$$$\Rightarrow\:\mathrm{no}\:\mathrm{absolute}\:\mathrm{min}/\mathrm{max}\:\mathrm{exist} \\ $$$$\mathrm{for}\:\mathrm{local}\:\mathrm{min}/\mathrm{max}\:\mathrm{solve}\:{y}'=\mathrm{0}…
Question Number 168550 by Shirnivak last updated on 13/Apr/22 Answered by mr W last updated on 13/Apr/22 Commented by mr W last updated on 13/Apr/22…
Question Number 37464 by bholachaudhary211@gamil.com last updated on 13/Jun/18 $$\mathrm{36}\boldsymbol{{x}}^{\mathrm{2}} \boldsymbol{{y}}^{\mathrm{2}} -\mathrm{42}\boldsymbol{{x}}^{\mathrm{3}} \boldsymbol{{y}}^{\mathrm{3}} +\mathrm{24}\boldsymbol{{x}}^{\mathrm{5}} \boldsymbol{{y}}^{\mathrm{4}} \\ $$ Commented by Joel579 last updated on 14/Jun/18 $$\mathrm{simplifying}?…
Question Number 168515 by cortano1 last updated on 12/Apr/22 $$\:\:\:\:\:\mid\frac{{x}^{\mathrm{2}} −\mathrm{9}}{\mathrm{3}}\mid+\frac{{x}−\mathrm{3}}{\mathrm{3}}\:>\mathrm{9}\: \\ $$$$\:\:\:\:{x}=? \\ $$ Commented by benhamimed last updated on 12/Apr/22 $$\begin{cases}{\left.{x}^{\mathrm{2}} \left.+{x}−\mathrm{39}>\mathrm{0}\:\:\:\:{si}\:{x}\in\right]−\infty;−\mathrm{3}\right]\cup\left[\mathrm{3};+\infty\left[\right.\right.}\\{−{x}^{\mathrm{2}} +{x}−\mathrm{21}>\mathrm{0}\:\:{si}\:\:{x}\in\left[−\mathrm{3};\mathrm{3}\right]}\end{cases}…
Question Number 102975 by Rio Michael last updated on 12/Jul/20 $$\mathrm{A}\:\mathrm{student}\:\mathrm{can}\:\mathrm{recall}\:\mathrm{6}\:\mathrm{digits}\:\mathrm{of}\:\mathrm{a}\:\mathrm{9}\:\mathrm{digit}\:\mathrm{number}. \\ $$$$\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{he}\:\mathrm{get}\:\mathrm{the}\:\mathrm{complete}\:\mathrm{number}? \\ $$ Commented by Rio Michael last updated on 12/Jul/20 $$\mathrm{yes}\:\mathrm{sir}\:\mathrm{am}\:\mathrm{sure}. \\…
Question Number 102967 by O Predador last updated on 11/Jul/20 Answered by Dwaipayan Shikari last updated on 11/Jul/20 $$\sqrt{{x}}+\frac{\mathrm{1}}{\:\sqrt{{x}}}=\mathrm{17} \\ $$$$\:\:\:\:\:\:\sqrt{\left(\sqrt{{x}}+\frac{\mathrm{1}}{\:\sqrt{{x}}}\right)^{\mathrm{2}} −\mathrm{2}−\mathrm{143}}=\sqrt{\mathrm{17}^{\mathrm{2}} −\mathrm{145}}=\mathrm{12} \\ $$…
Question Number 37411 by hari321 last updated on 12/Jun/18 $$\left(\sqrt{\left.\mathrm{2}\right)^{\sqrt{\mathrm{2}}} }\right. \\ $$ Answered by MJS last updated on 12/Jun/18 $$\left(\sqrt{\mathrm{2}}\right)^{\sqrt{\mathrm{2}}} =\left(\mathrm{2}^{\frac{\mathrm{1}}{\mathrm{2}}} \right)^{\sqrt{\mathrm{2}}} =\mathrm{2}^{\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}} =\mathrm{2}^{\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}}…
Question Number 37414 by hari321 last updated on 12/Jun/18 $${x}^{{x}} =\mathrm{2} \\ $$$$ \\ $$$${find}\:{the}\:{value}\:{of}\:{x}. \\ $$ Answered by MrW3 last updated on 12/Jun/18 $${x}^{{x}}…
Question Number 102940 by Jamshidbek2311 last updated on 11/Jul/20 Commented by prakash jain last updated on 11/Jul/20 $${y}^{{y}} =\mathrm{3}^{−\sqrt{\mathrm{48}}} \\ $$$${y}\mathrm{ln}\:{y}=−\mathrm{4}\sqrt{\mathrm{3}}\mathrm{ln}\:\mathrm{3}<−\frac{\mathrm{1}}{{e}} \\ $$$$\mathrm{no}\:\mathrm{real}\:\mathrm{solutions}. \\ $$…
Question Number 102927 by I want to learn more last updated on 11/Jul/20 $$\mathrm{If}\:\:\:\frac{\mathrm{x}}{\mathrm{x}^{\mathrm{2}} \:\:+\:\:\mathrm{x}\:\:+\:\:\mathrm{1}}\:\:\:=\:\:\frac{\mathrm{1}}{\mathrm{4}} \\ $$$$\mathrm{Find}\:\:\:\:\:\mathrm{x}\:\:+\:\:\frac{\mathrm{1}}{\mathrm{x}} \\ $$ Commented by I want to learn…