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Author: Tinku Tara

Q-the-equation-sin-2-x-sin-mx-cos-2-x-1-has-four-distinct-roots-in-0-2pi-find-the-values-of-m-m-N-

Question Number 201263 by mnjuly1970 last updated on 02/Dec/23 $$ \\ $$$$\:\:\:\:{Q}:\:{the}\:{equation}\:,\:{sin}^{\:\mathrm{2}} \left({x}\right)−{sin}\left({mx}\right){cos}\:^{\mathrm{2}} \left({x}\right)=\mathrm{1} \\ $$$$\:\:\:\:\:\:\:{has}\:\:{four}\:{distinct}\:{roots} \\ $$$$\:\:\:\:\:\:\:{in}\:\left(\:\mathrm{0}\:,\:\mathrm{2}\pi\:\right)\:\:{find}\:{the}\:{values} \\ $$$$\:\:\:\:\:\:\:\:{of}\:\:,\:\:\:{m}\:\:\:.\:\:\left({m}\:\in\:\mathbb{N}\:\right) \\ $$$$ \\ $$ Answered…

Biggest-prime-factor-of-3-14-3-13-12-

Question Number 201257 by BaliramKumar last updated on 02/Dec/23 $$\mathrm{Biggest}\:\mathrm{prime}\:\mathrm{factor}\:\mathrm{of}\:\left(\mathrm{3}^{\mathrm{14}} \:+\:\mathrm{3}^{\mathrm{13}} \:−\:\mathrm{12}\right)\:=\:? \\ $$ Answered by Rasheed.Sindhi last updated on 02/Dec/23 $$\mathrm{Biggest}\:\mathrm{prime}\:\mathrm{factor}\:\mathrm{of}\:\left(\mathrm{3}^{\mathrm{14}} \:+\:\mathrm{3}^{\mathrm{13}} \:−\:\mathrm{12}\right)\:=\:? \\…

find-the-sum-of-n-terms-of-the-serice-s-n-5-11-19-29-41-

Question Number 201253 by mathlove last updated on 02/Dec/23 $${find}\:{the}\:{sum}\:{of}\:{n}\:{terms}\:{of}\:{the}\:{serice} \\ $$$${s}_{{n}} =\mathrm{5}+\mathrm{11}+\mathrm{19}+\mathrm{29}+\mathrm{41}+………. \\ $$ Answered by Rasheed.Sindhi last updated on 02/Dec/23 $$\left(\mathrm{4}+\mathrm{1}\right)+\left(\mathrm{9}+\mathrm{2}\right)+\left(\mathrm{16}+\mathrm{3}\right)+\left(\mathrm{25}+\mathrm{4}\right)+.. \\ $$$$\left(\mathrm{2}^{\mathrm{2}}…