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If-0-lt-x-lt-1-lt-y-lt-100-lt-z-and-satisfy-these-equations-log-2-xyz-103-1-log-2-x-1-log-2-y-1-log-2-z-1-103-Find-xyz-x-y-z-xy-yz-zx-

Question Number 106288 by ZiYangLee last updated on 04/Aug/20 $$\mathrm{If}\:\mathrm{0}<\mathrm{x}<\mathrm{1}<\mathrm{y}<\mathrm{100}<\mathrm{z},\:\mathrm{and}\:\mathrm{satisfy} \\ $$$$\mathrm{these}\:\mathrm{equations}: \\ $$$$\begin{cases}{\mathrm{log}\:_{\mathrm{2}} \left(\mathrm{xyz}\right)=\mathrm{103}}\\{\frac{\mathrm{1}}{\mathrm{log}_{\mathrm{2}} \mathrm{x}}+\frac{\mathrm{1}}{\mathrm{log}_{\mathrm{2}} \mathrm{y}}+\frac{\mathrm{1}}{\mathrm{log}_{\mathrm{2}} \mathrm{z}}=\frac{\mathrm{1}}{\mathrm{103}}}\end{cases} \\ $$$$\mathrm{Find}\:\mathrm{xyz}\left(\mathrm{x}+\mathrm{y}+\mathrm{z}\right)−\mathrm{xy}−\mathrm{yz}−\mathrm{zx} \\ $$ Answered by bemath…

for-x-2-x-2-

Question Number 40715 by gopikrishnan005@gmail.com last updated on 26/Jul/18 $$\mathrm{for}\:\mathrm{x}\geqslant\mathrm{2}\:\mid\mathrm{x}−\mathrm{2}\mid= \\ $$ Commented by maxmathsup by imad last updated on 26/Jul/18 $${x}\geqslant\mathrm{2}\Rightarrow{x}−\mathrm{2}\geqslant\mathrm{0}\:\Rightarrow\mid{x}−\mathrm{2}\mid\:={x}−\mathrm{2}\:. \\ $$ Answered…

Question-171725

Question Number 171725 by SANOGO last updated on 20/Jun/22 Answered by puissant last updated on 20/Jun/22 $$\left.\mathrm{1}\right) \\ $$$$\forall\left({x};{y}\right)\in\mathbb{R}^{\mathrm{2}} ,\:\:{on}\:{a}\::\:\:\left({x}−{y}\right)^{\mathrm{2}} \geqslant\mathrm{0} \\ $$$$\left({x}−{y}\right)^{\mathrm{2}} \geqslant\mathrm{0}\:\:\Leftrightarrow\:{x}^{\mathrm{2}} −\mathrm{2}{xy}+{y}^{\mathrm{2}}…

a-0-0-0-a-0-0-0-a-then-the-value-of-mod-of-adjA-is-

Question Number 40656 by gopikrishnan005@gmail.com last updated on 25/Jul/18 $$\begin{pmatrix}{\mathrm{a}\:\mathrm{0}\:\mathrm{0}}\\{\mathrm{0}\:\mathrm{a}\:\mathrm{0}}\end{pmatrix} \\ $$$$\:\:\:\mathrm{0}\:\mathrm{0}\:\mathrm{a}\:\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{mod}\:\mathrm{of}\:\mathrm{adjA}\:\mathrm{is} \\ $$$$ \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 26/Jul/18 Terms of…