Category: Algebra

Question Number 161150 by mathlove last updated on 13/Dec/21 Commented by MJS_new last updated on 13/Dec/21 $$y=\sqrt{2x^2}⩾0$$$$y=\sqrt{2}\mid x\mid \Rightarrow xy=\sqrt{2}\mid x\mid x=\{\begin{array}{l}x<0;-\sqrt{2}{x}^2\\ x⩾0;\sqrt{2}{x}^2\end{array}$$ Terms…

Question Number 95608 by bobhans last updated on 26/May/20 Commented by john santu last updated on 26/May/20 $$\mathrm{another}\mathrm{way}$$$$\mathrm{set}x+y=handxy=g$$$$\Rightarrow xy(x+y)=30\mathrm{\&}g+h=11$$$$\Rightarrow{gh}\:=\:\mathrm{30}\:;\:{g}\:=\:\mathrm{11}−{h} \…

Question Number 161126 by geron last updated on 12/Dec/21 Commented by geron last updated on 12/Dec/21 $$79?$$ Commented by geron last updated on…

Question Number 161102 by cortano last updated on 12/Dec/21 Commented by Abdulazizov last updated on 12/Dec/21 $$$$ Answered by mr W last updated…

Question Number 161091 by HongKing last updated on 11/Dec/21 $$\mathrm{Solve}\mathrm{for}\mathrm{real}\mathrm{numbers}:$$$$\sqrt{1-\mathrm{x}}={2\mathrm{x}}^2-1-2\mathrm{x}\sqrt{1-{\mathrm{x}}^2}$$$$$$ Answered by MJS_new last updated on 11/Dec/21…