Category: Algebra

Question Number 48447 by rahul 19 last updated on 24/Nov/18 $$Findthesum\underset{k=0}{\sum ^{10}}{}^{20}{C}_k.$$ Commented by rahul 19 last updated on 24/Nov/18…

Question Number 179518 by mathlove last updated on 30/Oct/22 $$a-\frac{1}{b}=2cos\frac{2\pi }{13}$$$$b-\frac{1}{c}=2cos\frac{6\pi }{13}$$$$c-\frac{1}{a}=2cos\frac{8\pi }{13}provethat$$$${\left(abc\right)}^5-\frac{1}{{\left(abc\right)}^5}=11$$ Commented by mr W last…

Question Number 113975 by I want to learn more last updated on 16/Sep/20 $$\mathrm{Find}\mathrm{the}\mathrm{nth}\mathrm{term}:1,0,-1,0,1,0,-1,0,\dots$$ Answered by Olaf last updated on 16/Sep/20 $${u}_{{n}} \:=\:\mathrm{cos}\left({n}\frac{\pi}{\mathrm{2}}\right)…

Question Number 179494 by a.lgnaoui last updated on 29/Oct/22 $$Evaluer$$$$\int \frac{1-\mathrm{logx}}{1+\mathrm{x}}\mathrm{dx}$$ Answered by ARUNG_Brandon_MBU last updated on 29/Oct/22 $$\int \frac{1-\log x}{1+x}dx$$$$=\mathrm{log}\left(\mathrm{1}+{x}\right)−\underset{{n}=\mathrm{0}} {\overset{\infty}…

Question Number 113913 by Aina Samuel Temidayo last updated on 16/Sep/20 $$\mathrm{Find}\mathrm{the}\mathrm{square}\mathrm{root}\mathrm{of}\sqrt{50}+\sqrt{48}$$ Answered by 1549442205PVT last updated on 16/Sep/20 $$\mathrm{We}\mathrm{have}{(\sqrt{50}+\sqrt{48})}^2=98+2\sqrt{50.48}$$$$=\mathrm{98}+\mathrm{2}\sqrt{\mathrm{25}.\mathrm{16}.\mathrm{6}}=\mathrm{98}+\mathrm{40}\sqrt{\mathrm{6}}…