Category: Algebra

Question Number 198252 by hardmath last updated on 15/Oct/23 Commented by JDamian last updated on 15/Oct/23 what does / / mean? Commented by hardmath last updated on 15/Oct/23 $$\bigtriangleup\mathrm{ABC}…

Question Number 198243 by mr W last updated on 15/Oct/23 $$findthesumofthefirstntermsfrom$$$$1,2+3,4+5+6,7+8+9+10,\dots$$ Answered by som(math1967) last updated on 15/Oct/23 $$1+2+3+4+5+6+7+8+9+10+..n$$$${no}\:{of}\:{term}\:=\frac{{n}\left({n}+\mathrm{1}\right)}{\mathrm{2}}…

Question Number 198175 by York12 last updated on 12/Oct/23 $$ProveThefollowingFunctionalequation:$$$$\zeta (x,s)=\frac{2\mathrm{\Gamma }(1-s)}{{\left(2\pi \right)}^{(1-s)}}\{sin\left(\frac{\pi s}{2}\right)\underset{m=1}{\sum ^{\mathrm{\infty }}}\left[\frac{cos\left(2\pi mx\right)}{m^{(1-s)}}\right]+cos\left(\frac{\pi s}{2}\right)\underset{m=1}{\sum ^{\mathrm{\infty }}}\left[\frac{sin\left(2\pi mx\right)}{m^{(1-s)}}\right]\}$$ Answered by witcher3 last…

Question Number 198132 by a.lgnaoui last updated on 11/Oct/23 $$Solve:$$$$\frac{\mathbf{log}({\mathbf{x}}^2+7\mathbf{x}-5)}{\mathbf{log}(\mathbf{x}+2)}=2$$ Answered by som(math1967) last updated on 11/Oct/23 $${log}\left({x}^{\mathrm{2}} +\mathrm{7}{x}−\mathrm{5}\right)=\mathrm{2}{log}\left({x}+\mathrm{2}\right) \…

Question Number 198147 by mr W last updated on 11/Oct/23 $$ifa,x,y,bisanAPanda,p,q,bisaGP.$$$$provethatxy⩾pq.$$$$(witha,b>0)$$ Answered by AST last updated on 11/Oct/23 $${p}^{\mathrm{2}}…