Category: Algebra

Question Number 56705 by gunawan last updated on 22/Mar/19 $$\mathrm{the}\mathrm{smallest}\mathrm{value}\mathrm{of}$$$$\mathrm{S}=\{{}^3\sqrt{n}{-}^3\sqrt{m}\mid n,m\in \mathbb{N}\}\mathrm{is}\dots$$ Answered by kaivan.ahmadi last updated on 25/Mar/19 $${S}\:{has}\:{no}\:{smallest}\:{value}\:{of}\:\:{the} \…

Question Number 56697 by Tawa1 last updated on 21/Mar/19 $$\mathrm{Find}\mathrm{the}\mathrm{shortest}\mathrm{distance}\mathrm{between}\mathrm{the}\mathrm{lines}$$$$\mathrm{L}=(1,4,2)+\mathrm{N}(1,3,2)\mathrm{and}$$$$\mathrm{r}=(-1,1,-1)+\lambda (1,2,-1)$$ Answered by mr W last updated on 21/Mar/19 $${many}\:{methods}\:{to}\:{solve}.…

Question Number 122214 by peter frank last updated on 14/Nov/20 Answered by floor(10²Eta[1]) last updated on 14/Nov/20 $$\mathrm{if}\mathrm{f}\left(\mathrm{x}\right)\mathrm{has}\mathrm{a}\mathrm{repeated}\mathrm{root}\mathrm{so}{\mathrm{f}}^{\prime }\left(\mathrm{x}\right)\mathrm{has}\mathrm{that}\mathrm{root}$$$${\mathrm{f}}^{\prime }\left(\mathrm{x}\right)={54\mathrm{x}}^2+6\mathrm{x}-88=0={27\mathrm{x}}^2+3\mathrm{x}-44$$$$\mathrm{x}=\frac{−\mathrm{1}\pm\sqrt{\mathrm{1}+\mathrm{4}.\mathrm{44}.\mathrm{3}}}{\mathrm{18}}=\frac{−\mathrm{1}\pm\mathrm{23}}{\mathrm{18}} \…

Question Number 56643 by Sr@2004 last updated on 20/Mar/19 Commented by Sr@2004 last updated on 20/Mar/19 $$pleasesolve6,7,8,9$$ Commented by malwaan last updated on…

Question Number 122174 by AbdullahMohammadNurusSafa last updated on 14/Nov/20 $$If\mathit{x}=\sqrt{5}+\sqrt{3},then{\mathit{x}}^3+\frac{1}{{\mathit{x}}^3}=?$$$$\mathit{o}\mathit{r},\mathit{i}\mathit{s}\mathit{i}\mathit{t}\mathit{p}\mathit{o}\mathit{s}\mathit{s}\mathit{i}\mathit{b}\mathit{l}\mathit{e}\mathit{a}\mathit{t}\mathit{a}\mathit{l}\mathit{l}?$$ Answered by behi83417@gmail.com last updated on 14/Nov/20 $$\mathrm{x}^{\mathrm{3}} +\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{3}}…