Category: Algebra

Question Number 10078 by ridwan balatif last updated on 23/Jan/17 Commented by ridwan balatif last updated on 23/Jan/17 $$\mathrm{x}_{\mathrm{1}} ^{\mathrm{2011}} +\mathrm{x}_{\mathrm{2}} ^{\mathrm{2011}} =\mathrm{A}\:\mathrm{and}\:\mathrm{x}_{\mathrm{1}} ^{\mathrm{2012}} +\mathrm{x}_{\mathrm{2}}…

Question Number 75602 by peter frank last updated on 13/Dec/19 $$If2x^2-mxy+3y^2-5y-2$$$$havetworationalfactorthen$$$$findm$$ Answered by mr W last updated…

Question Number 10067 by konen last updated on 22/Jan/17 $$\frac{\mathrm{a}\times \mathrm{b}\times \mathrm{c}}{\mathrm{a}+\mathrm{b}}=-\frac{1}{2}$$$$\frac{\mathrm{a}\times \mathrm{b}\times \mathrm{c}}{\mathrm{b}+\mathrm{c}}=\frac{1}{2}$$$$\frac{\mathrm{a}\times \mathrm{b}\times \mathrm{c}}{\mathrm{a}+\mathrm{c}}=1$$$$\Rightarrow \mathrm{a}\times \mathrm{b}\times \mathrm{c}=?$$$$$$$$$$ Answered by mrW1…

Question Number 141135 by bobhans last updated on 16/May/21 $$Findtheminimumof$$$$\frac{12}{x}+\frac{18}{y}+xyforall$$$$positivenumberx\mathrm{\&}y.$$ Answered by mitica last updated on 16/May/21 $$\frac{\mathrm{12}}{{x}}+\frac{\mathrm{18}}{{y}}+{xy}\geqslant\mathrm{3}\sqrt[{\mathrm{3}}]{\frac{\mathrm{12}}{{x}}\centerdot\frac{\mathrm{18}}{{y}}\centerdot{xy}}=\mathrm{18} \…

Question Number 141122 by mathsuji last updated on 15/May/21 $$M=<a;a+1;a+2;\dots ;a+n>$$$$N=<a;a^2;a^3;\dots ;a^n>$$$$beanidealsinQ\left[a\right];wheren\in 2\mathbb{Z}$$$$M/N=?$$ Commented by mathsuji last…