Category: Algebra

Question Number 24704 by math solver last updated on 25/Nov/17 Commented by math solver last updated on 25/Nov/17 $$\mathrm{sum}\mathrm{of}\mathrm{series}\mathrm{upto}{}^{\prime }{\mathrm{n}}^{\prime }\mathrm{terms}\mathrm{is}?$$ Commented by prakash jain…

Question Number 155776 by mathdanisur last updated on 04/Oct/21 $$\mathrm{if}\mathrm{x}\in (0;\frac{\pi }{2})\mathrm{then}\mathrm{prove}\mathrm{that}:$$$$\frac{2+(1+\cot \mathbf{x})({\tan }^3\mathbf{x}+{\cot }^3\mathbf{x})}{(1+\tan \mathbf{x})(1+\cot \mathbf{x})}⩾\frac{3}{2}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 155774 by mathdanisur last updated on 04/Oct/21 $$\mathrm{if}\mathrm{x};\mathrm{y}>0\mathrm{then}\mathrm{prove}\mathrm{that}:$$$$\frac{{\mathrm{x}}^2{(1+\mathrm{xy})}^2+{\mathrm{x}}^2{\mathrm{y}}^4{(1+\mathrm{x})}^2+{(1+\mathrm{y})}^2}{1+\mathrm{xy}+{\mathrm{x}}^2\mathrm{y}+{\mathrm{xy}}^2}⩾3\mathrm{xy}$$ Terms of Service…

Question Number 90225 by jagoll last updated on 22/Apr/20 $$\mathrm{x}+\mathrm{y}+\mathrm{z}=4$$$$\mathrm{z}+\mathrm{t}+\mathrm{x}=-3$$$$\mathrm{y}+\mathrm{z}+\mathrm{t}=4$$$$\mathrm{t}+\mathrm{x}+\mathrm{y}=1$$$$\mathrm{find}\mathrm{the}\mathrm{value}\mathrm{of}{\mathrm{x}}^2+{\mathrm{y}}^2+{\mathrm{z}}^2+{\mathrm{t}}^2$$ Commented…

Question Number 155745 by cortano last updated on 04/Oct/21 $$\underset{\mathrm{k}=1}{\sum ^{\mathrm{n}}}\left(\frac{\mathrm{k}}{({4\mathrm{k}}^2-1)(2\mathrm{k}+3)}\right)=?$$ Answered by amin96 last updated on 04/Oct/21 $$\underbrace{\frac{{a}}{\mathrm{2}{k}−\underset{\mathrm{4}{k}^{\mathrm{2}} +\mathrm{8}{k}+\mathrm{3}} {\mathrm{1}}}}+\underset{\mathrm{4}{k}^{\mathrm{2}}…