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Question-43748

Question Number 43748 by naka3546 last updated on 15/Sep/18 Answered by tanmay.chaudhury50@gmail.com last updated on 15/Sep/18 $${f}\left({x}\right)=\mathrm{3}{x}^{\mathrm{3}} +{x}−\mathrm{1} \\ $$$${f}\left(\mathrm{0}\right)=−{ve} \\ $$$${f}\left(\mathrm{1}\right)=+{ve} \\ $$$${f}\left(\mathrm{0}.\mathrm{5}\right)=−{ve} \\…

Question-43749

Question Number 43749 by naka3546 last updated on 15/Sep/18 Answered by MrW3 last updated on 16/Sep/18 $$\mathrm{2}\left({n}^{\mathrm{2}} +\mathrm{3}{n}−\mathrm{1993}\right)={k}^{\mathrm{2}} \\ $$$${k}\:{must}\:{be}\:{even}\:\Rightarrow{k}=\mathrm{2}{m} \\ $$$${n}^{\mathrm{2}} +\mathrm{3}{n}−\mathrm{1993}=\mathrm{2}{m}^{\mathrm{2}} \\ $$$${n}\left({n}+\mathrm{3}\right)=\mathrm{2}{m}^{\mathrm{2}}…

Question-109264

Question Number 109264 by mathdave last updated on 22/Aug/20 Answered by Her_Majesty last updated on 22/Aug/20 $${x}−\mathrm{1}={a}\wedge{x}+\mathrm{1}={b} \\ $$$${ln}^{\mathrm{2}} {ab}−{ln}^{\mathrm{2}} \frac{{a}}{{b}}=\left({lna}+{lnb}\right)^{\mathrm{2}} +\left({lna}−{lnb}\right)^{\mathrm{2}} = \\ $$$$={ln}^{\mathrm{2}}…

Question-43713

Question Number 43713 by Junaid555 last updated on 14/Sep/18 Commented by Cheyboy last updated on 14/Sep/18 $$\sqrt{\frac{\left(\mathrm{6}^{\mathrm{3}} \right)^{\mathrm{2}/\mathrm{3}} \left(\mathrm{5}^{\mathrm{2}} \right)^{\mathrm{1}/\mathrm{2}} }{\left(\mathrm{5}^{−\mathrm{2}} \right)^{−\mathrm{3}/\mathrm{2}} }\:}=\sqrt{\frac{\left(\mathrm{6}^{\mathrm{2}} \right)\left(\mathrm{5}\right)}{\left(\mathrm{5}^{\mathrm{3}} \right)}}…

Question-174775

Question Number 174775 by Best1 last updated on 10/Aug/22 Answered by Ar Brandon last updated on 10/Aug/22 $${p}+{q}=\mathrm{8}\:…\left({i}\right) \\ $$$${p}\left(\mathrm{3}^{\mathrm{2}} \right)+{q}+\mathrm{2}\left(\mathrm{2}\right)=\mathrm{52}\:\Rightarrow\mathrm{9}{p}+{q}=\mathrm{48}\:…\left({ii}\right) \\ $$$$\left({ii}\right)−\left({i}\right)\Rightarrow\mathrm{8}{p}=\mathrm{40}\:\Rightarrow{p}=\mathrm{5},\:{q}=\mathrm{3} \\ $$$$\Rightarrow{G}_{{n}}…