Category: Algebra

Question Number 31323 by jasno91 last updated on 06/Mar/18 Answered by Joel578 last updated on 06/Mar/18 $$3\frac{2}{3}-1\frac{1}{2}=\frac{11}{3}-\frac{3}{2}=\frac{22}{6}-\frac{9}{6}=\frac{13}{6}=2\frac{1}{6}$$ Terms of Service Privacy Policy Contact:…

Question Number 31320 by Joel578 last updated on 06/Mar/18 $$\mathrm{Let}p\mathrm{and}q\mathrm{are}\mathrm{the}\mathrm{roots}\mathrm{of}$$$$x^2-2mx-5n=0$$$$\mathrm{and}m\mathrm{and}n\mathrm{are}\mathrm{the}\mathrm{roots}\mathrm{of}$$$$x^2-2px-5q=0$$$$\mathrm{If}p\ne q\ne m\ne n,\mathrm{then}\mathrm{the}\mathrm{value}\mathrm{of}$$$$p+q+m+n\mathrm{is}\dots$$ Answered…

Question Number 162382 by HongKing last updated on 29/Dec/21 Answered by Rasheed.Sindhi last updated on 29/Dec/21 $$\underset{-}{\begin{array}{c}(\mathrm{x}+\sqrt{{\mathrm{x}}^2+1})(\mathrm{y}+\sqrt{{\mathrm{y}}^2+1})=2011\\ \mathrm{x}+\mathrm{y}=\frac{2010}{\sqrt{2011}}\end{array}\}}$$$$\left(\mathrm{x}+\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\:\right)\centerdot\frac{\left(\mathrm{y}+\sqrt{\mathrm{y}^{\mathrm{2}} +\mathrm{1}}\:\right)\left(\mathrm{y}−\sqrt{\mathrm{y}^{\mathrm{2}} +\mathrm{1}}\:\right)}{\left(\mathrm{y}−\sqrt{\mathrm{y}^{\mathrm{2}}…

Question Number 162367 by cortano last updated on 29/Dec/21 $$Let{x}_1,x_2,x_{3}betherootsofthe$$$$equation{x}^3+3x+5=0.Thenthe$$$${value}\:{of}\:{expression}\:\left({x}_{\mathrm{1}} +\frac{\mathrm{1}}{{x}_{\mathrm{1}} }\right)\left({x}_{\mathrm{2}} +\frac{\mathrm{1}}{{x}_{\mathrm{2}} }\right)\left({x}_{\mathrm{3}} +\frac{\mathrm{1}}{{x}_{\mathrm{3}} }\right)\:{is} \…

Question Number 31290 by jasno91 last updated on 05/Mar/18 Commented by Tinkutara last updated on 05/Mar/18 $$\frac{9}{4}m$$ Answered by Joel578 last updated on…