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Category: Algebra

Question-108430

Question Number 108430 by Rasikh last updated on 16/Aug/20 Answered by Sarah85 last updated on 17/Aug/20 $$\mathrm{42}!\:\mathrm{has}\:\mathrm{got}\:\mathrm{more}\:\mathrm{2s}\:\mathrm{than}\:\mathrm{3s},\:\mathrm{so}\:\mathrm{we}\:\mathrm{have}\:\mathrm{to} \\ $$$$\mathrm{count}\:\mathrm{the}\:\mathrm{3s} \\ $$$$\mathrm{3},\:\mathrm{6},\:\mathrm{12},\:\mathrm{15},\:\mathrm{21},\:\mathrm{24},\:\mathrm{30},\:\mathrm{33},\:\mathrm{39},\:\mathrm{42}\:/\:\mathrm{10}\:\mathrm{3s} \\ $$$$\mathrm{9},\:\mathrm{18},\:\mathrm{36}\:/\:\mathrm{6}\:\mathrm{3s} \\ $$$$\mathrm{27}\:/\:\mathrm{3}\:\mathrm{3s}…

Question-173956

Question Number 173956 by Shrinava last updated on 21/Jul/22 Commented by dragan91 last updated on 22/Jul/22 $$ \\ $$$$\sqrt{\mathrm{x}^{\mathrm{3}} +\mathrm{y}^{\mathrm{2}} }+\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{3}} }=\mathrm{x}+\mathrm{y} \\ $$$$\mathrm{x}^{\mathrm{3}}…

Question-108422

Question Number 108422 by maouame last updated on 16/Aug/20 Answered by bubugne last updated on 17/Aug/20 $$ \\ $$$$\mathrm{1}\:−\:{solution}\:{triviale}\: \\ $$$$\left.\exists\left.\:\epsilon\:\in\:\mathbb{R}_{+} ^{\ast} \:\forall\:{c}\:\in\:\right]\mathrm{0},\epsilon\right]\:{f}\left({c}\right)={f}\:'\left({c}\right)=\mathrm{0} \\ $$$$…

Question-173923

Question Number 173923 by mathlove last updated on 21/Jul/22 Commented by Rasheed.Sindhi last updated on 21/Jul/22 $$\frac{\mathrm{r}_{\mathrm{1}} }{\mathrm{r}_{\mathrm{2}} }=\frac{\mathrm{r}_{\mathrm{2}} }{\mathrm{r}_{\mathrm{3}} }\Rightarrow\frac{\mathrm{2}}{\mathrm{3}}=\frac{\mathrm{3}}{\mathrm{r}_{\mathrm{3}} }\Rightarrow\mathrm{r}_{\mathrm{3}} =\frac{\mathrm{9}}{\mathrm{2}}=\mathrm{4}.\mathrm{5}\:\mathrm{cm} \\ $$…