Category: Algebra

Question Number 148975 by mathdanisur last updated on 01/Aug/21 Commented by Kamel last updated on 02/Aug/21 $$yessorry\mathrm{\angle }ABD=72°$$ Answered by Kamel last updated on…

Question Number 148946 by Tawa11 last updated on 01/Aug/21 $$\mathrm{Sum}\mathrm{to}\mathrm{n}\mathrm{term}:\frac{1}{1.2.3}+\frac{1}{4.5.6}+\frac{1}{7.8.9}+\dots \mathrm{to}\mathrm{n}.$$ Answered by Olaf_Thorendsen last updated on 02/Aug/21 $$\mathrm{S}=\underset{n=0}{\sum ^{\mathrm{\infty }}}\frac{1}{(3n+1)(3n+2)(3n+3)}$$$$\mathrm{S}\:=\:\underset{{n}=\mathrm{0}} {\overset{\infty}…

Question Number 148911 by mathdanisur last updated on 01/Aug/21 $$f:[-3,0]\to [7,22]$$$$f\left(x\right)=x^2-2x+7$$$$find{f}^{-1}\left(x\right)=?$$ Answered by EDWIN88 last updated on 01/Aug/21…

Question Number 83372 by Power last updated on 01/Mar/20 Commented by mr W last updated on 01/Mar/20 $$goh\left(x\right)=x-2$$$$\frac{5h\left(x\right)}{h\left(x\right)+1}=x-2$$$$\Rightarrow h\left(x\right)=\frac{x-2}{7-x}$$$${hof}\left({x}\right)=\frac{\left(\mathrm{2}{x}−\mathrm{1}\right)−\mathrm{2}}{\mathrm{7}−\left(\mathrm{2}{x}−\mathrm{1}\right)}=\frac{\mathrm{2}{x}−\mathrm{3}}{\mathrm{8}−\mathrm{2}{x}} \…

Question Number 148890 by mathdanisur last updated on 01/Aug/21 $$ifx+\frac{1}{x}=\sqrt{3}$$$$find{x}^{18}+x^{12}+x^6+1=?$$ Answered by nimnim last updated on 01/Aug/21 $$\mathrm{x}+\frac{\mathrm{1}}{\mathrm{x}}=\sqrt{\mathrm{3}}\Rightarrow\mathrm{x}^{\mathrm{2}}…