Question Number 46083 by peter frank last updated on 20/Oct/18 Answered by tanmay.chaudhury50@gmail.com last updated on 21/Oct/18 $$\alpha^{\mathrm{7}} =\mathrm{1} \\ $$$$\alpha^{\mathrm{7}} −\mathrm{1}=\mathrm{0} \\ $$$$\left(\alpha−\mathrm{1}\right)\left(\alpha^{\mathrm{6}} +\alpha^{\mathrm{5}}…
Question Number 46032 by Tawa1 last updated on 20/Oct/18 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}:\:\:\:\:\underset{\mathrm{k}\:=\:\mathrm{1}} {\overset{\mathrm{n}} {\sum}}\:\mathrm{tan}^{−\mathrm{1}} \:\left(\frac{\mathrm{2k}}{\mathrm{2}\:+\:\mathrm{k}^{\mathrm{2}} \:+\:\mathrm{k}^{\mathrm{4}} }\right) \\ $$$$ \\ $$$$\mathrm{Answer}:\:\:\:\:\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{n}^{\mathrm{2}} \:+\:\mathrm{n}\:+\:\mathrm{1}\right)\:−\:\frac{\pi}{\mathrm{4}} \\ $$ Answered by…
Question Number 111542 by Aina Samuel Temidayo last updated on 04/Sep/20 $$\mathrm{In}\:\mathrm{a}\:\mathrm{geometric}\:\mathrm{sequence}\:\mathrm{of}\:\mathrm{real} \\ $$$$\mathrm{numbers},\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{first} \\ $$$$\mathrm{two}\:\mathrm{terms}\:\mathrm{is}\:\mathrm{7}\:\mathrm{and}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{first} \\ $$$$\mathrm{six}\:\mathrm{terms}\:\mathrm{is}\:\mathrm{91}.\:\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{first} \\ $$$$\mathrm{four}\:\mathrm{terms}\:\mathrm{is}. \\ $$$$ \\ $$ Commented…
Question Number 177005 by Ar Brandon last updated on 29/Sep/22 Answered by Rasheed.Sindhi last updated on 29/Sep/22 $$\mathrm{3}{x}+\mathrm{7}\equiv\mathrm{12}\left[\mathrm{29}\right] \\ $$$$\mathrm{3}{x}\equiv\mathrm{5}+\mathrm{29}×\mathrm{2}\left[\mathrm{29}\right] \\ $$$$\mathrm{3}{x}\equiv\mathrm{63}\left[\mathrm{29}\right] \\ $$$${x}=\mathrm{21}\left[\mathrm{29}\right] \\…
Question Number 177000 by Ar Brandon last updated on 29/Sep/22 $$\mathrm{Let}\:{a}\:\mathrm{and}\:{b}\:\mathrm{be}\:\mathrm{positive}\:\mathrm{integers}. \\ $$$$\mathrm{If}\:\mathrm{118}!+\mathrm{119}!=\mathrm{5}^{{a}} {b}\:\mathrm{then}\:\mathrm{what}\:\mathrm{is}\:{a}_{\mathrm{max}} \:?\: \\ $$ Answered by BaliramKumar last updated on 29/Sep/22 $$\mathrm{118}!\:+\:\mathrm{119}!\:=\:\mathrm{118}!\left(\mathrm{1}+\mathrm{119}\right)\:=\:\mathrm{120}×\mathrm{118}!…
Question Number 176980 by Ar Brandon last updated on 29/Sep/22 $$\left({xy}\right)_{\mathrm{7}} =\left({yx}\right)_{\mathrm{9}} \\ $$$${x}+{y}=? \\ $$ Answered by mr W last updated on 29/Sep/22 $$\mathrm{7}{x}+{y}=\mathrm{9}{y}+{x}…
Question Number 176950 by cortano1 last updated on 28/Sep/22 Answered by mr W last updated on 28/Sep/22 $${say}\:\angle{AEC}=\theta \\ $$$${CB}=\mathrm{4}\:\mathrm{sin}\:\theta \\ $$$${BE}=\mathrm{4}\:\mathrm{cos}\:\theta \\ $$$$\frac{{AE}}{\mathrm{sin}\:\mathrm{45}°}=\frac{\mathrm{3}}{\mathrm{sin}\:\left(\theta−\mathrm{45}°\right)} \\…
Question Number 176928 by Ar Brandon last updated on 28/Sep/22 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{smallest}\:\mathrm{three}\:\mathrm{digit}\:\mathrm{number} \\ $$$$\mathrm{divisible}\:\mathrm{by}\:\frac{\mathrm{2}}{\mathrm{3}},\:\frac{\mathrm{7}}{\mathrm{9}},\:\frac{\mathrm{4}}{\mathrm{13}}\:\mathrm{without}\:\mathrm{a}\:\mathrm{remainder}\:? \\ $$ Answered by mr W last updated on 28/Sep/22 $${N}=\frac{\mathrm{2}}{\mathrm{3}}{a}=\frac{\mathrm{7}}{\mathrm{9}}{b}=\frac{\mathrm{4}}{\mathrm{13}}{c} \\…
Question Number 176925 by Ar Brandon last updated on 28/Sep/22 Answered by mindispower last updated on 28/Sep/22 $$={x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{2}{xy}+{x}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{4} \\ $$$$\left({x}−{y}\right)^{\mathrm{2}} +\left({x}−\mathrm{2}\right)^{\mathrm{2}} =\mathrm{0}…
Question Number 176917 by Ar Brandon last updated on 28/Sep/22 Terms of Service Privacy Policy Contact: info@tinkutara.com