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Category: Algebra

Question-104676

Question Number 104676 by qwertyu last updated on 23/Jul/20 Commented by Dwaipayan Shikari last updated on 23/Jul/20 $${cos}\mathrm{36}°+{cos}\mathrm{108}°={cos}\mathrm{36}°−{cos}\mathrm{72}° \\ $$$$=\frac{\sqrt{\mathrm{5}}+\mathrm{1}}{\mathrm{4}}−\frac{\sqrt{\mathrm{5}}−\mathrm{1}}{\mathrm{4}}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$ Commented by OlafThorendsen…

x-yi-3-10-2y-8i-2-3-i-find-x-amp-y-

Question Number 104657 by bobhans last updated on 23/Jul/20 $$\left({x}+{yi}\right)^{\mathrm{3}} \:=\:\frac{\mathrm{10}\left(\mathrm{2}{y}+\mathrm{8}{i}\right)^{\mathrm{2}} }{\mathrm{3}−{i}} \\ $$$${find}\:{x}\:\&\:{y} \\ $$ Answered by bramlex last updated on 23/Jul/20 $$\left({x}+{yi}\right)^{\mathrm{3}} \:=\:\frac{\mathrm{10}\left(\mathrm{2}{y}+\mathrm{8}{i}\right)^{\mathrm{2}}…

Question-170187

Question Number 170187 by infinityaction last updated on 18/May/22 Commented by MJS_new last updated on 18/May/22 $$\mathrm{it}'\mathrm{s}\:\mathrm{a}\:\mathrm{number}\:\mathrm{with}\:\mathrm{609}\:\mathrm{digits}\:\mathrm{starting}\:\mathrm{with} \\ $$$$\mathrm{550355}…\:\mathrm{and}\:\mathrm{ending}\:\mathrm{with}\:…\mathrm{570632} \\ $$ Commented by infinityaction last…

1-1-x-2-4-1-x-2-1-

Question Number 104621 by ajfour last updated on 22/Jul/20 $$\frac{\mathrm{1}}{\left(\mathrm{1}−{x}\right)^{\mathrm{2}} }−\frac{\mathrm{4}}{\left(\mathrm{1}+{x}\right)^{\mathrm{2}} }=\mathrm{1} \\ $$ Answered by prakash jain last updated on 22/Jul/20 $$\left(\mathrm{1}+{x}\right)^{\mathrm{2}} −\mathrm{4}\left(\mathrm{1}−{x}\right)^{\mathrm{2}} =\left(\mathrm{1}−\mathrm{2}{x}+{x}^{\mathrm{2}}…