Category: Algebra

Question Number 141164 by iloveisrael last updated on 16/May/21 $$Findmaximumvalue$$$$oftheproductxy(72-3x-4y)$$$$forpositivevalueofx\mathrm{\&}y.$$ Commented by mitica last updated on 16/May/21 $${max}=\mathrm{1152}\:{for}\:{x}=\mathrm{8},{y}=\mathrm{6} \…

Question Number 75618 by peter frank last updated on 13/Dec/19 Commented by mind is power last updated on 13/Dec/19 $$\mathrm{use}\mathrm{x}+\mathrm{y}⩾2\sqrt{\mathrm{xy}}$$$$(\mathrm{a}+\mathrm{b})⩾2\sqrt{\mathrm{ab}},(\mathrm{a}+\mathrm{c})⩾2\sqrt{\mathrm{ac}},\mathrm{c}+\mathrm{a}⩾2\sqrt{\mathrm{ca}}$$$$\Rightarrow\left(\mathrm{a}+\mathrm{b}\right)\left(\mathrm{b}+\mathrm{c}\right)\left(\mathrm{c}+\mathrm{a}\right)\geqslant\mathrm{2}\sqrt{\mathrm{ab}}.\mathrm{2}\sqrt{\mathrm{bc}}.\mathrm{2}\sqrt{\mathrm{ac}}=\mathrm{8abc} \…

Question Number 10082 by konen last updated on 23/Jan/17 $$\frac{\mathrm{x}}{6}=\frac{\mathrm{y}}{4}=\frac{\mathrm{z}}{\mathrm{k}}=\mathrm{k}$$$$\mathrm{x}+\mathrm{y}+\mathrm{z}=-25$$$$\mathrm{k}=?$$ Commented by ridwan balatif last updated on 23/Jan/17 $$\mathrm{x}+\mathrm{y}+\mathrm{z}=−\mathrm{25}…

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…