Category: Algebra

Question Number 99655 by bemath last updated on 22/Jun/20 Commented by bramlex last updated on 22/Jun/20 $$approximationx=7.464$$$$\iff x-2\sqrt{x}=7.464-2\sqrt{7.464}\approx 1.9999355\dots$$ Answered by Farruxjano last…

Question Number 165157 by mathlove last updated on 26/Jan/22 $$\underset{k=6}{\sum ^{n+6}}(k-4)=\frac{{an}^2+bn+c}{2}$$$$a+b+c=?$$ Commented by bobhans last updated on 30/Jan/22 $$\:\underset{\mathrm{k}=\mathrm{6}}…

Question Number 165153 by mathlove last updated on 26/Jan/22 $$f\left(x\right)=3e^{2x}$$$$f^{-1}\left(x\right)=?$$ Answered by mahdipoor last updated on 26/Jan/22 $$\Rightarrow{x}=\mathrm{3}{e}^{\mathrm{2}{y}} \Rightarrow\frac{\mathrm{1}}{\mathrm{2}}{ln}\frac{{x}}{\mathrm{3}}={y}={f}^{−\mathrm{1}} \left({x}\right)…

Question Number 165142 by HongKing last updated on 26/Jan/22 Commented by mr W last updated on 26/Jan/22 $$howdotheyplay?onegamebetween$$$$eachpair?you{can}^{\prime }tsolveifthe$$$$ruleofthetournamentisnotclear.$$ Commented…

Question Number 34044 by NECx last updated on 29/Apr/18 $$whatistheremainderwhen$$$$(111..)+(222..)+(333..)+\dots .+(77..)$$$$isdividedby37$$ Commented by Rasheed.Sindhi last updated on 30/Apr/18 $$\mathrm{N}=\left(\mathrm{111}..\right)+\left(\mathrm{222}..\right)+\left(\mathrm{333}..\right)+….+\left(\mathrm{77}..\right) \…