Question Number 204869 by BaliramKumar last updated on 29/Feb/24 $$\mathrm{How}\:\mathrm{many}\:\mathrm{distinct}\:\mathrm{positive}\:\mathrm{integer}\:\mathrm{valued}\:\mathrm{solution}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\mathrm{exist}\:\mathrm{the}\:\mathrm{equation}\:\left({x}^{\mathrm{2}} \:−\:\mathrm{7}{x}\:+\:\mathrm{11}\right)^{\left({x}^{\mathrm{2}} \:−\mathrm{13}{x}\:+\:\mathrm{42}\right)} \:=\:\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\left(\mathrm{a}\right)\:\mathrm{2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{b}\right)\:\mathrm{4}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{c}\right)\:\mathrm{6}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{d}\right)\:\mathrm{8} \\ $$ Answered by A5T last updated on…
Question Number 204853 by depressiveshrek last updated on 29/Feb/24 $${f}\left({x}\right)=\sqrt{\mathrm{1}−\mathrm{log}_{\left(\mathrm{2}{x}+\mathrm{5}\right)} \left(\left({x}+\mathrm{1}\right)^{\mathrm{2}} \right)} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{domain}\:\mathrm{of}\:\mathrm{this}\:\mathrm{function} \\ $$ Answered by Frix last updated on 29/Feb/24 $$−\frac{\mathrm{5}}{\mathrm{2}}<{x}\leqslant\mathrm{2}\wedge{x}\neq−\mathrm{2}\wedge{x}\neq−\mathrm{1} \\…
Question Number 204815 by cortano12 last updated on 28/Feb/24 $$\:\:\:\:\:\mathrm{Given}\:\left(\mathrm{3p}^{\mathrm{2}} −\mathrm{p}+\mathrm{q}^{\mathrm{3}} \right)^{\mathrm{12}} \:,\:\mathrm{find}\:\mathrm{the}\: \\ $$$$\:\:\:\:\mathrm{coefficient}\:\mathrm{of}\:\mathrm{p}^{\mathrm{10}} \mathrm{q}^{\mathrm{6}} \\ $$ Answered by TonyCWX08 last updated on 28/Feb/24…
Question Number 204756 by York12 last updated on 27/Feb/24 $$ \\ $$ Commented by Rasheed.Sindhi last updated on 27/Feb/24 $$\mathrm{Wrong}! \\ $$$${Given}\:{condition}\:{satisfied}\:{by}: \\ $$$$\:\:{a}=\mathrm{0},{b}=\mathrm{0},{c}=\mathrm{1} \\…
Question Number 204754 by York12 last updated on 27/Feb/24 $$ \\ $$ Commented by York12 last updated on 27/Feb/24 Commented by Rasheed.Sindhi last updated on…
Question Number 204805 by York12 last updated on 27/Feb/24 $$\mathrm{Why}\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\left({x}^{{n}} {u}_{{n}} \right)=\mathrm{0}\:,\mathrm{When}\:{u}_{{n}} \:\mathrm{is}\:\mathrm{bounded}\: \\ $$ Commented by mr W last updated on 27/Feb/24 $${only}\:{true}\:{if}\:\mid{x}\mid<\mathrm{1}.…
Question Number 204733 by hardmath last updated on 26/Feb/24 $$\mathrm{Find}:\:\:\:\frac{\mathrm{59}^{\mathrm{2}} \:+\:\mathrm{48}^{\mathrm{2}} \:+\:\mathrm{41}^{\mathrm{2}} \:−\:\mathrm{30}^{\mathrm{2}} }{\mathrm{68}^{\mathrm{2}} \:+\:\mathrm{52}^{\mathrm{2}} \:+\:\mathrm{32}^{\mathrm{2}} \:−\:\mathrm{48}^{\mathrm{2}} }\:=\:? \\ $$ Answered by Rasheed.Sindhi last updated…
Question Number 204712 by cortano12 last updated on 26/Feb/24 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{real}\:\mathrm{solution}\: \\ $$$$\:\:\:\:\sqrt{\mathrm{3x}^{\mathrm{2}} +\mathrm{x}−\mathrm{1}}\:+\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{2x}−\mathrm{3}}\:=\: \\ $$$$\:\:\sqrt{\mathrm{3x}^{\mathrm{2}} +\mathrm{3x}+\mathrm{5}}\:+\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{3}}\: \\ $$ Commented by Rasheed.Sindhi last updated…
Question Number 204742 by York12 last updated on 26/Feb/24 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{real}\:{x} \\ $$ Commented by York12 last updated on 26/Feb/24 Commented by TonyCWX08 last updated on…
Question Number 204739 by hardmath last updated on 26/Feb/24 Answered by mr W last updated on 26/Feb/24 $${x}^{\mathrm{4}} +\mathrm{2}{x}=−\mathrm{4} \\ $$$$\Rightarrow{x}^{\mathrm{3}} +\mathrm{2}=−\frac{\mathrm{4}}{{x}} \\ $$$$\Rightarrow\frac{{x}^{\mathrm{2}} }{{x}^{\mathrm{3}}…