Menu Close

Category: Algebra

Question-152898

Question Number 152898 by bobhans last updated on 02/Sep/21 Commented by mathdanisur last updated on 03/Sep/21 $$\mathrm{5x}^{\mathrm{5}} −\mathrm{23x}^{\mathrm{4}} +\mathrm{39x}^{\mathrm{3}} −\mathrm{33x}^{\mathrm{2}} +\mathrm{24x}=\mathrm{4}\:\Rightarrow\:=\mathrm{2} \\ $$ Commented by…

Solve-for-real-numbers-the-following-system-of-equations-x-2-yz-3-y-2-xz-1-z-2-xy-1-

Question Number 152892 by mathdanisur last updated on 02/Sep/21 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{real}\:\mathrm{numbers}\:\mathrm{the}\:\mathrm{following} \\ $$$$\mathrm{system}\:\mathrm{of}\:\mathrm{equations}: \\ $$$$\begin{cases}{\mathrm{x}^{\mathrm{2}} \:-\:\mathrm{yz}\:=\:\mathrm{3}}\\{\mathrm{y}^{\mathrm{2}} \:-\:\mathrm{xz}\:=\:\mathrm{1}}\\{\mathrm{z}^{\mathrm{2}} \:-\:\mathrm{xy}\:=\:-\:\mathrm{1}}\end{cases} \\ $$ Commented by MJS_new last updated on…

0-1-Li-2-x-1-x-log-x-log-1-x-dx-

Question Number 152881 by mathdanisur last updated on 02/Sep/21 $$\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\mathrm{Li}_{\mathrm{2}} \:\left(\frac{\mathrm{x}}{\mathrm{1}\:-\:\mathrm{x}}\right)\:\mathrm{log}\left(\mathrm{x}\right)\:\mathrm{log}\left(\mathrm{1}\:-\:\mathrm{x}\right)\:\mathrm{dx}\:=\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

simplify-3-x-63-21-x-2-7-x-1-

Question Number 152844 by bobhans last updated on 02/Sep/21 $$\:\:\:\:\:\:\:\:\:\:\:{simplify}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\frac{\mathrm{3}^{{x}} \:+\:\mathrm{63}}{\mathrm{21}^{{x}−\mathrm{2}} \:+\:\mathrm{7}^{{x}−\mathrm{1}} }\: \\ $$ Answered by Rasheed.Sindhi last updated on 02/Sep/21 $$\:\:\:\:\:\:\:\:\:\:\:\frac{\mathrm{3}^{{x}}…

Question-152840

Question Number 152840 by liberty last updated on 02/Sep/21 Answered by MJS_new last updated on 04/Sep/21 $$\mathrm{transforming}\:\Rightarrow \\ $$$${x}^{\mathrm{3}} −\mathrm{3}{x}^{\mathrm{2}} +\left({y}^{\mathrm{2}} +\mathrm{3}\right){x}−{y}\left(\mathrm{3}{y}+\mathrm{1}\right)=\mathrm{0} \\ $$$${x}^{\mathrm{2}} −\frac{\mathrm{1}}{{y}}{x}+{y}^{\mathrm{2}}…

for-z-1-1-show-that-tan-arg-z-1-2-2i-z-1-

Question Number 87302 by M±th+et£s last updated on 03/Apr/20 $${for}\:\mid{z}−\mathrm{1}\mid=\mathrm{1}\:{show}\:{that} \\ $$$${tan}\left(\frac{{arg}\left({z}−\mathrm{1}\right)}{\mathrm{2}}\right)−\frac{\mathrm{2}{i}}{{z}}=−\mathrm{1} \\ $$ Commented by MJS last updated on 04/Apr/20 $$\mathrm{tan}\:\frac{\mathrm{arg}\:\left({z}−\mathrm{1}\right)}{\mathrm{2}}\:\in\mathbb{R} \\ $$$$−\frac{\mathrm{2i}}{{z}}\notin\mathbb{R}\:\forall\:{z}={a}+{b}\mathrm{i};\:{a}\neq\mathrm{0} \\…