Category: Algebra

Question Number 5777 by FilupSmith last updated on 27/May/16 $$\exists{x}\in\mathbb{Z}^{+} :{x}={p}_{\mathrm{1}} {p}_{\mathrm{2}} …{p}_{{n}} \wedge\forall{p}\neq{x},\:{p}\in\mathbb{Z}^{+} \\ $$$$ \\ $$$${x}=\left({factors}\:{of}\:{p}_{\mathrm{1}} \right)\left({fact}.\:{p}_{\mathrm{2}} \right)…\left({fact}.\:{p}_{{n}} \right) \\ $$$$\mathrm{How}\:\mathrm{could}\:\mathrm{you}\:\mathrm{formally}\:\mathrm{write}\:\mathrm{the} \\ $$$$\mathrm{number}\:\mathrm{of}\:\mathrm{ways}\:\mathrm{you}\:\mathrm{can}\:\mathrm{write}\:{x}\:\mathrm{in}\:\mathrm{terms}…

Question Number 5764 by sanusihammed last updated on 26/May/16 $$\mathrm{2}^{{x}} \:=\:\mathrm{4}{x} \\ $$$${Solution} \\ $$$$\mathrm{2}^{{x}} \:=\:\mathrm{4}{x} \\ $$$${This}\:{can}\:{be}\:{re}\:{write}\:{as} \\ $$$$\left(\mathrm{1}+\mathrm{1}\right)^{{x}} \:=\:\mathrm{4}{x} \\ $$$${Using}\:{combination}\:{to}\:{epand} \\ $$$${from}\:{the}\:{identity}.…

Question Number 136824 by NancyJerotich last updated on 26/Mar/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 5753 by Rasheed Soomro last updated on 26/May/16 $$\mathrm{If}\:\:\mathrm{0}<{r}<\mathrm{1},\:\mathrm{determine} \\ $$$$\mathrm{1}+\frac{{ar}}{{a}+{r}}+\frac{{ar}^{\mathrm{2}} }{{a}+\mathrm{2}{r}}+\frac{{ar}^{\mathrm{3}} }{{a}+\mathrm{3}{r}}….. \\ $$ Commented by FilupSmith last updated on 26/May/16 $${S}=\mathrm{1}+{T}…

Question Number 71282 by mr W last updated on 13/Oct/19 $${solve} \\ $$$${x}\left({y}+{z}\right)=\mathrm{27} \\ $$$${y}\left({z}+{x}\right)=\mathrm{32} \\ $$$${z}\left({x}+{y}\right)=\mathrm{35} \\ $$ Answered by ajfour last updated on…