Menu Close

Category: Algebra

Question-104115

Question Number 104115 by bobhans last updated on 19/Jul/20 Answered by nimnim last updated on 19/Jul/20 $$\frac{{xy}}{{x}+{y}}={a},\:\frac{{xz}}{{x}+{z}}={b},\:\frac{{yz}}{{y}+{z}}={c} \\ $$$$\frac{\mathrm{1}}{{x}}+\frac{\mathrm{1}}{{y}}=\frac{\mathrm{1}}{{a}},\:\:\frac{\mathrm{1}}{{x}}+\frac{\mathrm{1}}{{z}}=\frac{\mathrm{1}}{{b}},\:\:\frac{\mathrm{1}}{{y}}+\frac{\mathrm{1}}{{z}}=\frac{\mathrm{1}}{{c}} \\ $$$$\mathrm{2}\left(\frac{\mathrm{1}}{{x}}+\frac{\mathrm{1}}{{y}}+\frac{\mathrm{1}}{{z}}\right)=\frac{\mathrm{1}}{{a}}+\frac{\mathrm{1}}{{b}}+\frac{\mathrm{1}}{{c}}=\frac{{bc}+{ac}+{ab}}{{abc}} \\ $$$$\frac{\mathrm{1}}{{x}}+\frac{\mathrm{1}}{{c}}=\frac{{bc}+{ac}+{ab}}{\mathrm{2}{abc}} \\ $$$$\frac{\mathrm{1}}{{x}}=\frac{{bc}+{ac}+{ab}}{\mathrm{2}{abc}}−\frac{\mathrm{1}}{{c}}…

Question-38570

Question Number 38570 by Sr@2004 last updated on 27/Jun/18 Commented by tanmay.chaudhury50@gmail.com last updated on 27/Jun/18 $${pls}\:{post}\:{question}\:{clearly}…{bhalo}\:{kore}\:{photo}\:{tolo} \\ $$$${tar}\:{por}\:{post}\:{karo}…{bangla}\:{language}\:{hole}\:{adubidha} \\ $$$${nai} \\ $$ Commented by…

Solve-log-r-8-log-3-p-5-i-r-p-11-ii-

Question Number 104086 by I want to learn more last updated on 19/Jul/20 $$\mathrm{Solve}:\:\:\:\:\:\:\mathrm{log}_{\mathrm{r}} \mathrm{8}\:\:\:+\:\:\:\mathrm{log}_{\mathrm{3}} \mathrm{p}\:\:\:=\:\:\mathrm{5}\:\:\:\:\:\:\:\:\:…..\:\left(\mathrm{i}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{r}\:\:\:+\:\:\mathrm{p}\:\:\:=\:\:\mathrm{11}\:\:\:\:\:\:\:\:\:…..\:\left(\mathrm{ii}\right) \\ $$ Commented by I want to…

Question-169610

Question Number 169610 by mathlove last updated on 04/May/22 Answered by som(math1967) last updated on 04/May/22 $$\frac{\alpha^{\mathrm{2}} }{\alpha^{\mathrm{2}} +\alpha\beta+\alpha\gamma}+\frac{\beta^{\mathrm{2}} }{\beta^{\mathrm{2}} +\alpha\beta+\beta\gamma}+\frac{\gamma^{\mathrm{2}} }{\gamma^{\mathrm{2}} +\beta\gamma+\gamma\alpha}\:\bigstar \\ $$$$=\frac{\alpha^{\mathrm{2}}…

Question-169585

Question Number 169585 by Shrinava last updated on 03/May/22 Commented by mr W last updated on 03/May/22 $${please}\:{check}\:{the}\:{question}!\:{one}\:{can}'{t} \\ $$$${image}\:{how}\:{it}\:{looks}\:{like}.\:{maybe} \\ $$$${D}\:{on}\:{BC},\:{E}\:{on}\:{CA}\:{and}\:{F}\:{on}\:{AB}. \\ $$ Commented…