Category: Algebra

Question Number 91491 by jagoll last updated on 01/May/20 $$x^3+1=2\sqrt[3]{2x-1}$$$$x=?$$ Answered by MJS last updated on 01/May/20 $$\mathrm{obviously}x=1\mathrm{is}\mathrm{a}\mathrm{solution}$$$$\left({x}^{\mathrm{3}}…

Question Number 25937 by Mr eaay last updated on 16/Dec/17 $$Foracertainamountofwork,Adetakes$$$$6hourslessthanBode.iftheyworktogether$$$$ittakesthem13hours20minutes.How$$$$longwillittakeBodealonetocomplete$$$$thework?$$ Answered by ajfour last…

Question Number 91473 by A8;15: last updated on 01/May/20 Answered by MJS last updated on 01/May/20 $$x^4-22x^2+x+112=0$$$$\mathrm{first},\mathrm{testing}\mathrm{all}\mathrm{factors}\mathrm{of}\pm 112=\pm 2^{4}7$$$$\Rightarrow\:\mathrm{no}\:\mathrm{solution} \…

Question Number 157006 by amin96 last updated on 18/Oct/21 $$\sqrt{4+27\sqrt{4+29\sqrt{4+31\sqrt{4+\dots }}}}=?$$$$$$ Answered by puissant last updated on 18/Oct/21 $$SiruseRamanujanformula$$$${x}+\mathrm{4}=\sqrt{\mathrm{4}+{x}\sqrt{\mathrm{4}+\left({x}+\mathrm{2}\right)\sqrt{\mathrm{4}+\left({x}+\mathrm{4}\right)\sqrt{…..}}}} \…

Question Number 91469 by Zainal Arifin last updated on 01/May/20 $$-5<\frac{4-3\mathrm{x}}{2}<\mathrm{l}$$ Commented by abdomathmax last updated on 01/May/20 $$\iff -10<4-3x<2\iff -14<-3x<-2\iff$$$$2<3x<14\iff \frac{2}{3}<x<\frac{14}{3}$$…