Category: Algebra

Question Number 63247 by Joel122 last updated on 01/Jul/19 $$\mathrm{Prove}\mathrm{that}$$$$\sqrt{abc}+\sqrt{(1-a)(1-b)(1-c)}⩽1$$$$\mathrm{for}0⩽a,b,c⩽1$$ Commented by Tony Lin last updated on 01/Jul/19 $$\because\:{abc}+\left(\mathrm{1}−{a}\right)\left(\mathrm{1}−{b}\right)\left(\mathrm{1}−{c}\right)\geqslant…

Question Number 128712 by Study last updated on 09/Jan/21 $$ifP(x-1)=2x^3\cdot Q\left(x\right)+x^2$$$$find\frac{P\left(1\right)-4}{Q\left(x\right)}=??$$ Commented by Adel last updated on 13/Jan/21 $$\mathrm{p}\left(\mathrm{1}\right)=\boldsymbol{\mathrm{p}}\left(\mathrm{2}−\mathrm{1}\right)=\mathrm{2}×\mathrm{2}^{\mathrm{3}} ×\boldsymbol{\mathrm{Q}}\left(\mathrm{x}\right)+\mathrm{2}^{\mathrm{2}} \…

Question Number 63162 by Rio Michael last updated on 29/Jun/19 $$Findthesetofvaluesofxwhichsatisfytheinequalities$$$$\frac{2}{x-1}⩽\frac{1}{x}and{x}^2-\mid 3x\mid +2<0$$ Commented by Prithwish sen last updated on 30/Jun/19 $$\frac{\mathrm{2}}{\mathrm{x}−\mathrm{1}}\leqslant\frac{\mathrm{1}}{\mathrm{x}}\:\Rightarrow\mathrm{x}\leqslant−\mathrm{1}…

Question Number 128684 by Study last updated on 09/Jan/21 $$howwecanconvert0.\stackrel{-}{9}to\frac{q}{p}?$$ Answered by liberty last updated on 09/Jan/21 $$\mathrm{let}\mathrm{r}=0,99999999999\dots$$$$10\mathrm{r}=9.9999999999\dots$$$$\mathrm{substract}\:\Rightarrow\:\mathrm{9r}\:=\:\mathrm{9}\:\Rightarrow\:\mathrm{r}\:=\:\mathrm{1}\:=\:\frac{\mathrm{1}}{\mathrm{1}}\:=\:\frac{\mathrm{2}}{\mathrm{2}}=\frac{\mathrm{n}}{\mathrm{n}}\:;\:\mathrm{n}\neq\:\mathrm{0}…

Question Number 128632 by shaker last updated on 09/Jan/21 Terms of Service Privacy Policy Contact: info@tinkutara.com