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Category: Algebra

Question-36691

Question Number 36691 by Tinkutara last updated on 04/Jun/18 Commented by Rasheed.Sindhi last updated on 05/Jun/18 $${ax}+{cy}+{bz}={X},{cx}+{by}+{az}={Y},{bx}+{ay}+{cz}={Z} \\ $$$$\mathrm{Adding}\:\mathrm{the}\:\mathrm{three}: \\ $$$$\left({a}+{b}+{c}\right)\left({x}+{y}+{z}\right)={X}+{Y}+{Z} \\ $$$$…… \\ $$$$….…

Question-167750

Question Number 167750 by mathlove last updated on 24/Mar/22 Answered by Rasheed.Sindhi last updated on 24/Mar/22 $${f}\left({x}−{y}\right)={f}\left({x}\right)−{f}\left({y}\right);\:{f}\left(\mathrm{2}\right)=\mathrm{5};\:{f}\left(\mathrm{16}\right)=? \\ $$$$\bullet{x}=\mathrm{2}{y} \\ $$$${f}\left(\mathrm{2}{y}−{y}\right)={f}\left(\mathrm{2}{y}\right)−{f}\left({y}\right) \\ $$$${f}\left({y}\right)={f}\left(\mathrm{2}{y}\right)−{f}\left({y}\right) \\ $$$$\mathrm{2}{f}\left({y}\right)={f}\left(\mathrm{2}{y}\right)…

if-z-27-find-all-the-root-of-z-in-complex-plain-

Question Number 36676 by tawa tawa last updated on 04/Jun/18 $$\mathrm{if}\:\:\mathrm{z}\:=\:−\:\mathrm{27},\:\:\mathrm{find}\:\mathrm{all}\:\mathrm{the}\:\mathrm{root}\:\mathrm{of}\:\mathrm{z}\:\mathrm{in}\:\mathrm{complex}\:\mathrm{plain} \\ $$ Commented by abdo mathsup 649 cc last updated on 04/Jun/18 $${the}\:{roots}\:{are}?{the}\:{comlex}\:{z}\:/\:{z}^{\mathrm{2}} \:=−\mathrm{27}\:=\left({i}\sqrt{\mathrm{27}}\right)^{\mathrm{2}}…

3-4-27-4-2-36-2-7-18-1-9-

Question Number 167737 by HongKing last updated on 24/Mar/22 $$\mathrm{3}\:\:\:\Box\:\:\:\mathrm{4}\:\:\:\rightarrow\:\:\:\mathrm{27} \\ $$$$\mathrm{4}\:\:\:\Box\:\:\:\mathrm{2}\:\:\:\rightarrow\:\:\:\mathrm{36} \\ $$$$\mathrm{2}\:\:\:\Box\:\:\:\mathrm{7}\:\:\:\rightarrow\:\:\:\mathrm{18} \\ $$$$\mathrm{1}\:\:\:\Box\:\:\:\mathrm{9}\:\:\:\rightarrow\:\:\:? \\ $$ Answered by Rasheed.Sindhi last updated on 24/Mar/22…

72-49-42-16-21-2-16-

Question Number 167738 by HongKing last updated on 24/Mar/22 $$\mathrm{72}\:\:\:\rightarrow\:\:\:\mathrm{49} \\ $$$$\mathrm{42}\:\:\:\rightarrow\:\:\:\mathrm{16} \\ $$$$\mathrm{21}\:\:\:\rightarrow\:\:\:\mathrm{2} \\ $$$$\mathrm{16}\:\:\:\rightarrow\:\:\:? \\ $$ Answered by malwan last updated on 24/Mar/22…

Question-36660

Question Number 36660 by Tinkutara last updated on 03/Jun/18 Answered by tanmay.chaudhury50@gmail.com last updated on 04/Jun/18 $$\frac{\mathrm{1}}{{a}+{w}}+\frac{\mathrm{1}}{{b}+{w}}+\frac{\mathrm{1}}{{c}+{w}}+\frac{\mathrm{1}}{{d}+{w}}=\frac{\mathrm{2}{w}^{\mathrm{3}} }{{w}}=\frac{\mathrm{2}}{{w}} \\ $$$$\frac{\mathrm{1}}{{a}+{w}^{\mathrm{2}} }+\frac{\mathrm{1}}{{b}+{w}^{\mathrm{2}} }+\frac{\mathrm{1}}{{c}+{w}^{\mathrm{2}} }+\frac{\mathrm{1}}{{d}+{w}^{\mathrm{2}} }=\frac{\mathrm{2}{w}^{\mathrm{3}} }{{w}^{\mathrm{2}}…