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Category: Algebra

Find-the-angle-which-is-equal-to-one-eighth-of-its-supplement-

Question Number 46297 by pieroo last updated on 23/Oct/18 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{which}\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{one}-\mathrm{eighth} \\ $$$$\mathrm{of}\:\mathrm{its}\:\mathrm{supplement}. \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 23/Oct/18 $${x}+{y}=\mathrm{180}^{{o}} \\ $$$${x}=\frac{{y}}{\mathrm{8}} \\…

please-help-me-L-lim-x-1-p-1-x-p-q-1-x-q-p-q-R-

Question Number 46268 by Saorey last updated on 23/Oct/18 $$\mathrm{please}\:\mathrm{help}\:\mathrm{me}! \\ $$$$\mathrm{L}=\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\left(\frac{\mathrm{p}}{\mathrm{1}−\mathrm{x}^{\mathrm{p}} }−\frac{\mathrm{q}}{\mathrm{1}−\mathrm{x}^{\mathrm{q}} }\right)\:,\:\left(\mathrm{p},\mathrm{q}\in\mathbb{R}\right) \\ $$ Commented by maxmathsup by imad last updated on…

1-1-3-5-1-3-5-7-1-5-7-9-nth-term-

Question Number 46245 by rpseelam last updated on 23/Oct/18 $$\frac{\mathrm{1}}{\mathrm{1}.\mathrm{3}.\mathrm{5}}+\frac{\mathrm{1}}{\mathrm{3}.\mathrm{5}.\mathrm{7}}+\frac{\mathrm{1}}{\mathrm{5}.\mathrm{7}.\mathrm{9}}+…..{nth}\:{term} \\ $$ Commented by maxmathsup by imad last updated on 23/Oct/18 $${let}\:{S}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:\:\frac{\mathrm{1}}{\left(\mathrm{2}{k}+\mathrm{1}\right)\left(\mathrm{2}{k}+\mathrm{3}\right)\left(\mathrm{2}{k}+\mathrm{5}\right)}\:\:\:{let}\:{find}\:\:{S}_{{n}}…

Resoudre-l-equation-a-cos-3-x-b-cos-x-c-sin-x-a-b-c-reels-x-k-pi-2-k-Z-

Question Number 177307 by a.lgnaoui last updated on 03/Oct/22 $${Resoudre}\:{l}\:{equation}\: \\ $$$$\frac{{a}}{\mathrm{cos}\:^{\mathrm{3}} {x}}+\frac{{b}}{\mathrm{cos}\:{x}}=\frac{{c}}{\mathrm{sin}\:{x}}\:\:\:\: \\ $$$${a},{b},{c}\:{reels}\:\:\:\:{x}#\left\{{k}\frac{\pi}{\mathrm{2}}\:\:{k}\in\mathbb{Z}\right\} \\ $$ Answered by Frix last updated on 04/Oct/22 $${t}=\mathrm{tan}\:{x}\:\Leftrightarrow\:{x}=\mathrm{tan}^{−\mathrm{1}}…

How-many-real-numbers-x-satisfy-the-equation-3-2x-2-3-x-3-3-x-3-0-

Question Number 111724 by Aina Samuel Temidayo last updated on 04/Sep/20 $$\mathrm{How}\:\mathrm{many}\:\mathrm{real}\:\mathrm{numbers}\:\mathrm{x}\:\mathrm{satisfy}\:\mathrm{the} \\ $$$$\mathrm{equation}\:\mathrm{3}^{\mathrm{2x}+\mathrm{2}} −\mathrm{3}^{\mathrm{x}+\mathrm{3}} −\mathrm{3}^{\mathrm{x}} +\mathrm{3}=\mathrm{0}\:? \\ $$ Commented by mohammad17 last updated on…