Category: Algebra

Question Number 5785 by sanusihammed last updated on 27/May/16 $${Solve}\:{simultaneously} \\ $$$$ \\ $$$$\mathrm{2}{x}\:+\:{y}\:−\:{z}\:=\:\mathrm{8}\:\:\:………..\:\left({i}\right) \\ $$$${x}^{\mathrm{2}} \:−\:{y}^{\mathrm{2}} \:+\:\mathrm{2}{z}^{\mathrm{2}} \:=\:\mathrm{14}\:……….\:\left({ii}\right) \\ $$$$\mathrm{3}{x}^{\mathrm{3}} \:+\:\mathrm{4}{y}^{\mathrm{3}} \:+\:{z}^{\mathrm{3}} \:=\:\mathrm{195}\:\:\:………..\:\left({iii}\right) \\…

Question Number 5784 by Rasheed Soomro last updated on 27/May/16 $$ \\ $$$$\mathcal{D}{etermine}: \\ $$$$\mathrm{1}+\frac{{a}+{r}}{{ar}}+\frac{{a}+\mathrm{2}{r}}{{ar}^{\mathrm{2}} }+…+\frac{{a}+\left({n}−\mathrm{1}\right){r}}{{ar}^{{n}−\mathrm{1}} } \\ $$ Answered by Yozzii last updated on…

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