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Category: Algebra

f-x-y-f-x-y-f-x-f-y-find-f-x-

Question Number 180407 by CrispyXYZ last updated on 12/Nov/22 $${f}\left({x}−{y}\right)+{f}\left({x}+{y}\right)={f}\left({x}\right){f}\left({y}\right) \\ $$$$\mathrm{find}\:{f}\left({x}\right) \\ $$ Answered by mahdipoor last updated on 12/Nov/22 $${x}=\mathrm{0}\:\:\:{y}=\mathrm{0}\:\Rightarrow \\ $$$${f}\left(\mathrm{0}\right)+{f}\left(\mathrm{0}\right)={f}\left(\mathrm{0}\right){f}\left(\mathrm{0}\right)\:\Rightarrow{f}\left(\mathrm{0}\right)=\mathrm{0}\:\:{or}\:\:\mathrm{2} \\…

Find-arg-2-3-2i-8-1-i-6-1-i-6-2-3-2i-8-

Question Number 49331 by rahul 19 last updated on 05/Dec/18 $${Find}\:: \\ $$$${arg}\left(\:\frac{\left(\mathrm{2}\sqrt{\mathrm{3}}+\mathrm{2}{i}\right)^{\mathrm{8}} }{\left(\mathrm{1}−{i}\right)^{\mathrm{6}} }\:\:+\:\frac{\left(\mathrm{1}+{i}\right)^{\mathrm{6}} }{\left(\mathrm{2}\sqrt{\mathrm{3}}−\mathrm{2}{i}\right)^{\mathrm{8}} }\right)\:? \\ $$ Commented by maxmathsup by imad last…

The-difference-between-the-ages-of-Sammy-and-Cindy-is-half-the-difference-between-the-ages-of-their-parents-Their-father-is-6-years-older-than-twice-the-age-of-Cindy-Their-mother-is-twice-as-old-

Question Number 180396 by nadovic last updated on 11/Nov/22 $$\mathrm{The}\:\mathrm{difference}\:\mathrm{between}\:\mathrm{the}\:\mathrm{ages}\:\mathrm{of} \\ $$$$\mathrm{Sammy}\:\mathrm{and}\:\mathrm{Cindy}\:\mathrm{is}\:\mathrm{half}\:\mathrm{the}\: \\ $$$$\mathrm{difference}\:\mathrm{between}\:\mathrm{the}\:\mathrm{ages}\:\mathrm{of}\: \\ $$$$\mathrm{their}\:\mathrm{parents}.\:\mathrm{Their}\:\mathrm{father}\:\mathrm{is}\:\mathrm{6} \\ $$$$\mathrm{years}\:\mathrm{older}\:\mathrm{than}\:\mathrm{twice}\:\mathrm{the}\:\mathrm{age}\:\mathrm{of}\: \\ $$$$\mathrm{Cindy}.\:\mathrm{Their}\:\mathrm{mother}\:\mathrm{is}\:\mathrm{twice}\:\mathrm{as}\:\mathrm{old} \\ $$$$\mathrm{as}\:\mathrm{Cindy}\:\mathrm{and}\:\mathrm{12}\:\mathrm{years}\:\mathrm{older}\:\mathrm{than}\: \\ $$$$\mathrm{Sammy}.\:\mathrm{By}\:\mathrm{how}\:\mathrm{many}\:\mathrm{years}\:\mathrm{is}\: \\…

8-12-4-13-8-6-4-14-

Question Number 180381 by Linton last updated on 11/Nov/22 $$\sqrt{\frac{\mathrm{8}^{\mathrm{12}} +\mathrm{4}^{\mathrm{13}} }{\mathrm{8}^{\mathrm{6}} +\mathrm{4}^{\mathrm{14}} }} \\ $$ Answered by floor(10²Eta[1]) last updated on 11/Nov/22 $$\sqrt{\frac{\mathrm{2}^{\mathrm{36}} +\mathrm{2}^{\mathrm{26}}…

Question-49279

Question Number 49279 by Tawa1 last updated on 05/Dec/18 Commented by MJS last updated on 05/Dec/18 $${x}−\mathrm{4}={u} \\ $$$$\mathrm{2}{x}−\mathrm{5}={v} \\ $$$${u}^{\mathrm{2017}} +{u}^{\mathrm{2015}} +{u}=−\left({v}^{\mathrm{2017}} +{v}^{\mathrm{2015}} +{v}\right)…

solve-the-differential-equation-y-2-y-y-0-using-power-series-method-that-is-assume-y-n-0-c-n-x-n-is-a-solution-

Question Number 180351 by MikeH last updated on 10/Nov/22 $$\mathrm{solve}\:\mathrm{the}\:\mathrm{differential}\:\mathrm{equation}\:\:{y}''\:+\mathrm{2}\:{y}'\:+\:{y}\:=\:\mathrm{0} \\ $$$$\mathrm{using}\:\mathrm{power}\:\mathrm{series}\:\mathrm{method}\:\mathrm{that}\:\mathrm{is},\:\mathrm{assume} \\ $$$${y}\:=\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}{c}_{{n}} {x}^{{n}} \:\mathrm{is}\:\mathrm{a}\:\mathrm{solution} \\ $$ Terms of Service Privacy Policy…