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Category: Algebra

x-2-66-2-x-x-x-x-2-66-2-x-2-5-

Question Number 194326 by horsebrand11 last updated on 03/Jul/23 $$\:\:\sqrt{\frac{\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{66}^{\mathrm{2}} +\mathrm{x}}}{\mathrm{x}}\:}\:−\sqrt{\mathrm{x}\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{66}^{\mathrm{2}} }−\mathrm{x}^{\mathrm{2}} }\:=\:\mathrm{5}\: \\ $$ Answered by cortano12 last updated on 03/Jul/23 $$\:\:\:\cancel{\lesseqgtr}…

find-min-x-y-xy-4-4-2-xy-s-t-x-gt-0-gt-y-

Question Number 194321 by CrispyXYZ last updated on 04/Jul/23 $$\mathrm{find}\:\mathrm{min}\:\:−\frac{\left({x}−{y}\right)\left(\frac{{xy}}{\mathrm{4}}−\mathrm{4}\right)^{\mathrm{2}} }{{xy}} \\ $$$$\mathrm{s}.\:\mathrm{t}.\:\:{x}>\mathrm{0}>{y} \\ $$ Answered by Frix last updated on 04/Jul/23 $${f}\left({x},{y}\right)=−\frac{\left({x}−{y}\right)\left(\frac{{xy}}{\mathrm{4}}−\mathrm{4}\right)^{\mathrm{2}} }{{xy}}=−\frac{\left({x}−{y}\right)\left({xy}−\mathrm{16}\right)^{\mathrm{2}} }{\mathrm{16}{xy}}…

if-x-R-amp-x-x-6-2-2-x-

Question Number 194316 by SajaRashki last updated on 03/Jul/23 $${if}\:\:{x}\in{R}\:\:\&\:\:{x}^{{x}^{\mathrm{6}} } =\left(\sqrt{\mathrm{2}}\right)^{\sqrt{\mathrm{2}}} \:\Rightarrow\:\:{x}=? \\ $$ Commented by Frix last updated on 03/Jul/23 $${x}=\mathrm{2}^{\frac{\mathrm{1}}{\mathrm{4}}} \\ $$$$\Rightarrow\:{x}^{\mathrm{6}}…

Question-194295

Question Number 194295 by Abdullahrussell last updated on 02/Jul/23 Answered by BaliramKumar last updated on 02/Jul/23 $$\mathrm{1}!×\mathrm{2}!×\mathrm{3}!×………………×\mathrm{2023}! \\ $$$$\mathrm{1}^{\mathrm{2023}} ×\mathrm{2}^{\mathrm{2022}} ×\mathrm{3}^{\mathrm{2021}} ×………………×\mathrm{2023}^{\mathrm{1}} \\ $$$$\mathrm{1}^{\mathrm{2023}} ×…×\mathrm{5}^{\mathrm{2019}}…