Category: Algebra

Question Number 89653 by student work last updated on 18/Apr/20 Commented by john santu last updated on 18/Apr/20 $$2^x=p\Rightarrow p^3+p=16$$$$useCardanomethod$$…

Question Number 155182 by mathdanisur last updated on 26/Sep/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 155164 by mnjuly1970 last updated on 26/Sep/21 $$solve..$$$$\lfloor \frac{x}{2+\sqrt{x}}\rfloor =3(x\in \mathbb{Z})$$$$$$ Answered by MJS_new last updated on 26/Sep/21 $$\frac{{x}}{\mathrm{2}+\sqrt{{x}}}=\mathrm{3}\:\Rightarrow\:{x}\approx\mathrm{19}.\mathrm{11} \…

Question Number 155153 by mathdanisur last updated on 26/Sep/21 $$\mathrm{Solve}\mathrm{the}\mathrm{equation}\mathrm{in}\mathbb{R}$$$$\sqrt{2({\mathrm{x}}^2-\mathrm{x}+1)}=1+\sqrt{\mathrm{x}}-\mathrm{x}$$ Answered by MJS_new last updated on 26/Sep/21 $$\sqrt{x}\in \mathbb{R}\Rightarrow x⩾0\mathrm{but}{\mathrm{it}}^{\prime }\mathrm{s}\mathrm{easy}\mathrm{to}\mathrm{see}x\ne 0$$$$\mathrm{and}\:\mathrm{lhs}>\mathrm{0}\:\Rightarrow\:\mathrm{1}+\sqrt{{x}}−{x}>\mathrm{0}…

Question Number 155136 by amin96 last updated on 25/Sep/21 $$\mathit{p}\mathit{r}\mathit{o}\mathit{v}\mathit{e}\mathit{t}\mathit{h}\mathit{a}\mathit{t}$$$$\frac{\boldsymbol{\mathrm{log}}^{\mathrm{2}} \left(\mathrm{2}\right)}{\mathrm{2}}\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\boldsymbol{\varphi}\left(\boldsymbol{{n}}\right)}{\left(\boldsymbol{{n}}+\mathrm{1}\right)^{\mathrm{2}} \mathrm{2}^{\boldsymbol{{n}}} }+\boldsymbol{\mathrm{log}}\left(\mathrm{2}\right)\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\boldsymbol{\varphi}\left({n}\right)}{\left(\boldsymbol{{n}}+\mathrm{1}\right)^{\mathrm{3}} \mathrm{2}^{\boldsymbol{{n}}} }+\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\boldsymbol{\varphi}\left({n}\right)}{\left(\boldsymbol{{n}}+\mathrm{1}\right)^{\mathrm{4}} \mathrm{2}^{\boldsymbol{{n}}} }=…