Question Number 7600 by Rohit last updated on 05/Sep/16 $${solve}\:\mid\frac{{x}^{\mathrm{2}} −\mathrm{3}{x}−\mathrm{1}}{{x}^{\mathrm{2}} +{x}+\mathrm{1}}\mid<\mathrm{3}\:\:{give}\:{solution} \\ $$ Answered by Yozzia last updated on 05/Sep/16 $$\mid{u}\left({x}\right)\mid<{a}\Rightarrow−{a}<{u}\left({x}\right)<{a}. \\ $$$$\therefore\mid\frac{{x}^{\mathrm{2}} −\mathrm{3}{x}−\mathrm{1}}{{x}^{\mathrm{2}}…
Question Number 138661 by mr W last updated on 16/Apr/21 Commented by mr W last updated on 16/Apr/21 $${proof}\:{for}\:{Q}\mathrm{138519} \\ $$ Commented by mr W…
Question Number 138658 by ajfour last updated on 16/Apr/21 Commented by ajfour last updated on 16/Apr/21 $${Find}\:{maximum}\:{area}\:{of}\:\bigtriangleup{AOB}. \\ $$$${a}=\mathrm{1}. \\ $$ Commented by mr W…
Question Number 7544 by Tawakalitu. last updated on 03/Sep/16 Commented by sou1618 last updated on 03/Sep/16 $${x}={OA} \\ $$$${OB}=\sqrt{{x}^{\mathrm{2}} +\mathrm{144}} \\ $$$$\Delta{ABO}=\frac{\mathrm{1}}{\mathrm{2}}\mathrm{12}{x} \\ $$$$\Delta{AOB}=\frac{\mathrm{1}}{\mathrm{2}}\mathrm{3}\left(\mathrm{12}+{x}+\sqrt{{x}^{\mathrm{2}} +\mathrm{144}}\right)…
Question Number 138554 by cherokeesay last updated on 14/Apr/21 Answered by mr W last updated on 14/Apr/21 Commented by mr W last updated on 14/Apr/21…
Question Number 138519 by mr W last updated on 14/Apr/21 Commented by mr W last updated on 14/Apr/21 $${from}\:{an}\:{arbitrary}\:{triangle}\:{ABC} \\ $$$${points}\:{P},{Q},{R}\:{are}\:{constructed}\:{as} \\ $$$${shown}\:{with}\:\alpha+\beta+\gamma=\mathrm{360}°. \\ $$$${prove}\:{that}\:{the}\:{interior}\:{angles}\:{of}…
Question Number 72952 by ajfour last updated on 05/Nov/19 Commented by ajfour last updated on 05/Nov/19 $${AB}\:{divides}\:{the}\:{composite}\:{figure} \\ $$$${of}\:{square}\:{mounted}\:{by}\:{a}\:{semicircle} \\ $$$${in}\:{two}\:{equal}\:{parts}.\:{Determine}\:\alpha. \\ $$ Commented by…
Question Number 72930 by TawaTawa last updated on 05/Nov/19 Answered by ajfour last updated on 05/Nov/19 Commented by ajfour last updated on 05/Nov/19 $${R}\mathrm{sin}\:\alpha={R}−\mathrm{2}{r} \\…
Question Number 72894 by TawaTawa last updated on 04/Nov/19 Answered by mind is power last updated on 04/Nov/19 $$\mathrm{lets}\:\mathrm{assum}\:\mathrm{n},\mathrm{m}\:\mathrm{are}\:\mathrm{relativ}\:\mathrm{prime} \\ $$$$ \\ $$$$\mathrm{let}\:\mathrm{N}=\mathrm{p}_{\mathrm{1}} ^{\mathrm{k1}} .\mathrm{p}_{\mathrm{2}}…
Question Number 138401 by Bekzod Jumayev last updated on 13/Apr/21 Commented by Bekzod Jumayev last updated on 13/Apr/21 $${Help}? \\ $$ Commented by Bekzod Jumayev…