Category: Algebra

Question Number 191283 by Shrinava last updated on 22/Apr/23 Answered by amin96 last updated on 22/Apr/23 $$\mathbf{this}\mathbf{problem}\mathbf{new}\mathbf{RMM}\mathbf{problem}$$$$\mathbf{solution}\mathbf{is}\mathbf{on}\mathbf{my}\mathbf{instagram}\mathbf{page}$$$$$$@mathematics.azerbaijan Terms of…

Question Number 60175 by MJS last updated on 18/May/19 $$\mathrm{solving}{u}^v=w\mathrm{with}u,v,w\in \mathbb{C}$$$$\mathrm{finding}\mathrm{all}\mathrm{possible}\mathrm{solutions}$$$$\mathrm{I}\mathrm{tested}\mathrm{this}\mathrm{with}\mathrm{several}\mathrm{values}\mathrm{and}\mathrm{found}$$$$\mathrm{no}\mathrm{mistake}.\mathrm{please}\mathrm{review}\mathrm{and}\mathrm{comment}.$$$$\mathrm{I}\mathrm{hope}\mathrm{this}\mathrm{will}\mathrm{help}\mathrm{at}\mathrm{least}\mathrm{some}\mathrm{of}\mathrm{you}.$$ Commented by MJS last…

Question Number 60156 by Tawa1 last updated on 18/May/19 $$\mathrm{Prove}\mathrm{by}\mathrm{principle}\mathrm{of}\mathrm{mathematical}\mathrm{induction}$$$$\sin \left(\mathrm{x}\right)+\sin \left(2\mathrm{x}\right)+\sin \left(3\mathrm{x}\right)+\dots +\sin \left(\mathrm{nx}\right)=\frac{\cos \left(\frac{1}{2}\mathrm{x}\right)-\cos (\mathrm{n}+\frac{1}{2})\mathrm{x}}{2\sin \left(\frac{1}{2}\mathrm{x}\right)}$$ Commented by Smail last updated on 19/May/19 $${sinx}+{sin}\mathrm{2}{x}+…+{sin}\left({nx}\right)=\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}{sin}\left({kx}\right) \…

Question Number 191221 by Shrinava last updated on 21/Apr/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 125670 by mathocean1 last updated on 12/Dec/20 $$N<10200,Nhasfivedigits.$$$$N\equiv 22\left[23\right]andN\equiv 5\left[17\right].$$$$DeterminatetheintegerN.$$ Answered by floor(10²Eta[1]) last updated on 12/Dec/20 $$\mathrm{10000}\leqslant\mathrm{N}<\mathrm{10200} \…