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Question Number 189022 by mr W last updated on 10/Mar/23 $${if}\:\left(\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }+{x}\right)\left(\sqrt{\mathrm{1}+{y}^{\mathrm{2}} }+{y}\right)=\mathrm{1}\: \\ $$$${with}\:{x},{y}\:\in{R},\:{find}\:\left({x}+{y}\right)^{\mathrm{2}} =? \\ $$ Answered by Frix last updated on 11/Mar/23…
Question Number 57947 by maxmathsup by imad last updated on 14/Apr/19 $${let}\:{P}\left({x}\right)=\left(\mathrm{1}+{ix}\right)^{{n}} −\mathrm{1}−{ni}\:\:\:\:{with}\:{x}\:{real}\:{and}\:{n}\:{integr}\:{natural} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{the}\:{roots}\:{of}\:{P}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{factorize}\:{P}\left({x}\right)\:{inside}\:{C}\left[{x}\right] \\ $$$$\left.\mathrm{3}\right)\:{factorize}\:{P}\left({x}\right)\:{inside}\:{R}\left[{x}\right] \\ $$$$\left.\mathrm{4}\right)\:{decompose}\:{the}\:{fraction}\:{F}\left({x}\right)\:=\frac{{P}^{\left(\mathrm{1}\right)} \left({x}\right)}{{P}\left({x}\right)}\:{inside}\:{C}\left({x}\right) \\ $$$${P}^{\left(\mathrm{1}\right)} \:{is}\:{the}\:{derivative}\:{of}\:{P}\:.…
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Question Number 189013 by Pengu last updated on 10/Mar/23 $$\mathrm{Suppose}\:\left({G},\:\centerdot\:\right)\:\mathrm{and}\:\left({H},\:\ast\:\right)\:\mathrm{are}\:\mathrm{groups}. \\ $$$$\mathrm{Take}\:\mathrm{homomorphism}\:\phi\::\:{G}\:\rightarrow\:{H}. \\ $$$$\mathrm{Suppose}\:\exists{g}\in{G}\::\:\mid{g}\mid\:=\:{n},\:\mathrm{then}\:\mid\phi\left({g}\right)\mid\:\leqslant\:{n}. \\ $$$$\: \\ $$$$\mathrm{Does}\:\forall{g}\in{G},\:\mid{g}\mid\:=\:\mid\phi\left({g}\right)\mid\:\Rightarrow\:{G}\:\cong\:{H}\:? \\ $$ Answered by aleks041103 last updated…
Question Number 57932 by Jaiden2019 last updated on 14/Apr/19 $$\mathrm{7}+{g}=\mathrm{24} \\ $$$$ \\ $$ Answered by peter frank last updated on 14/Apr/19 $${g}=\mathrm{24}−\mathrm{7}=\mathrm{17} \\ $$…
Question Number 57930 by Jaiden2019 last updated on 14/Apr/19 $$\mathrm{solve}\:\mathrm{2}.\mathrm{3}\left(\frac{\mathrm{2}}{\mathrm{11}}+\mathrm{3}\right) \\ $$ Answered by peter frank last updated on 14/Apr/19 $$\mathrm{2}.\mathrm{3}\left(\frac{\mathrm{2}+\mathrm{33}}{\mathrm{11}}\right) \\ $$$$\mathrm{2}.\mathrm{3}×\left(\frac{\mathrm{35}}{\mathrm{11}}\right) \\ $$$$\frac{\mathrm{80}.\mathrm{5}}{\mathrm{11}}…
Question Number 57902 by maxmathsup by imad last updated on 14/Apr/19 $${prove}\:{that}\:{the}\:{equation}\:{Z}^{{n}} =\mathrm{1}\:\:{have}\:{exacly}\:{n}\:{roots}\:\:{given}\:{by} \\ $$$${Z}_{{k}} ={e}^{{i}\frac{\mathrm{2}{k}\pi}{{n}}} \:\:\:\:{k}\in\left[\left[\mathrm{0},{n}−\mathrm{1}\right]\right] \\ $$ Commented by Abdo msup. last updated…
Question Number 123426 by MJS_new last updated on 25/Nov/20 $$\mathrm{find}\:\mathrm{the}\:\mathrm{radii}\:\mathrm{of}\:\mathrm{all}\:\mathrm{circles}\:\mathrm{with}\:\mathrm{center}\:{C} \\ $$$$\mathrm{tangenting}\:\mathrm{the}\:\mathrm{curve}\:{h} \\ $$$${C}=\begin{pmatrix}{\mathrm{5}}\\{\mathrm{1}}\end{pmatrix} \\ $$$${h}:\:{x}^{\mathrm{2}} −{y}^{\mathrm{2}} =\mathrm{1} \\ $$ Commented by ajfour last updated…
Question Number 57881 by hhghg last updated on 13/Apr/19 $$\mathrm{calculate}\frac{\mathrm{2}}{\mathrm{13}}×\mathrm{2}\frac{\mathrm{1}}{\mathrm{4}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com