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Category: Algebra

1-x-1-y-1-z-16-37-then-faind-volve-of-x-y-z-

Question Number 166398 by mathlove last updated on 19/Feb/22 $$\frac{\mathrm{1}}{{x}+\frac{\mathrm{1}}{{y}+\frac{\mathrm{1}}{{z}}}}=\frac{\mathrm{16}}{\mathrm{37}} \\ $$$${then}\:{faind}\:{volve}\:{of}\:\:\:\:{x}+{y}+{z}=? \\ $$ Answered by floor(10²Eta[1]) last updated on 19/Feb/22 $$\frac{\mathrm{16}}{\mathrm{37}}=\frac{\mathrm{1}}{\frac{\mathrm{37}}{\mathrm{16}}}=\frac{\mathrm{1}}{\mathrm{2}+\frac{\mathrm{5}}{\mathrm{16}}}=\frac{\mathrm{1}}{\mathrm{2}+\frac{\mathrm{1}}{\frac{\mathrm{16}}{\mathrm{5}}}}=\frac{\mathrm{1}}{\mathrm{2}+\frac{\mathrm{1}}{\mathrm{3}+\frac{\mathrm{1}}{\mathrm{5}}}} \\ $$$$\mathrm{x}+\mathrm{y}+\mathrm{z}=\mathrm{10} \\…

Question-100815

Question Number 100815 by john santu last updated on 28/Jun/20 Answered by mr W last updated on 28/Jun/20 $${see}\:{Q}\mathrm{47657} \\ $$$$ \\ $$$$\delta=\left(\mathrm{2}+\mathrm{3}+\sqrt{\mathrm{7}}\right)\left(−\mathrm{2}+\mathrm{3}+\sqrt{\mathrm{7}}\right)\left(\mathrm{2}−\mathrm{3}+\sqrt{\mathrm{7}}\right)\left(\mathrm{2}+\mathrm{3}−\sqrt{\mathrm{7}}\right) \\ $$$$=\mathrm{108}…

Question-100793

Question Number 100793 by bramlex last updated on 28/Jun/20 Commented by bobhans last updated on 28/Jun/20 $$\mathrm{The}\:\mathrm{perimeter}\:\mathrm{of}\:\mathrm{isosceles}\:\Delta\mathrm{MBC}\:=\:\mathrm{5}+\mathrm{5}+\mathrm{6}\:=\:\mathrm{16}\: \\ $$ Answered by Dwaipayan Shikari last updated…

Question-100792

Question Number 100792 by bramlex last updated on 28/Jun/20 Answered by bobhans last updated on 28/Jun/20 $$\frac{{x}+{xy}}{{y}}\:=\:\frac{{y}+{xy}}{{x}}\:\Rightarrow\:{x}^{\mathrm{2}} +{x}^{\mathrm{2}} {y}\:=\:{y}^{\mathrm{2}} +{xy}^{\mathrm{2}} \\ $$$${x}^{\mathrm{2}} −{y}^{\mathrm{2}} \:=\:{xy}^{\mathrm{2}} −{x}^{\mathrm{2}}…