Question Number 140040 by bobhans last updated on 03/May/21 $$\:\sqrt[{\mathrm{3}}]{\mathrm{45}+\mathrm{29}\sqrt{\mathrm{2}}}\:+\:\sqrt[{\mathrm{3}}]{\mathrm{45}−\mathrm{29}\sqrt{\mathrm{2}}}\:=?\: \\ $$ Answered by cherokeesay last updated on 05/May/21 $${U}\:=\:\sqrt[{\mathrm{3}}]{\mathrm{45}\:+\mathrm{29}\sqrt{\mathrm{2}}}\:\:\:\:\:{V}\:=\:\sqrt[{\mathrm{3}}]{\mathrm{45}−\mathrm{29}\sqrt{\mathrm{2}}} \\ $$$${U}^{\:\mathrm{3}} \:=\:\mathrm{45}\:+\mathrm{29}\sqrt{\mathrm{2}}\:\:\:\:{V}^{\:\mathrm{3}} \:=\:\mathrm{45}\:−\mathrm{29}\sqrt{\mathrm{2}}\:\: \\…
Question Number 8965 by Joel575 last updated on 08/Nov/16 $${If} \\ $$$${xy}\:−\:{x}\:=\:{yz}\:−\:\mathrm{2}{y}\:=\:{xz}\:+\:\mathrm{3}{z}\:=\:\mathrm{3} \\ $$$${and} \\ $$$${xyz}\:>\:\mathrm{0} \\ $$$${What}\:{is}\:{the}\:{value}\:{of}\:{xyz}\:? \\ $$ Commented by sou1618 last updated…
Question Number 140030 by mathdanisur last updated on 03/May/21 Answered by mr W last updated on 03/May/21 Commented by mathdanisur last updated on 03/May/21 $${cool}\:{thanks}\:{sir}…
Question Number 8956 by j.masanja06@gmail.com last updated on 07/Nov/16 $$\mathrm{prove}\:\mathrm{that}; \\ $$$$\mathrm{log}_{\mathrm{ab}} \mathrm{x}=\frac{\mathrm{log}_{\mathrm{a}} \mathrm{x}−\mathrm{log}_{\mathrm{b}} \mathrm{x}}{\mathrm{log}_{\mathrm{a}} \mathrm{x}+\mathrm{log}_{\mathrm{b}} \mathrm{x}} \\ $$ Commented by sou1618 last updated on…
Question Number 8934 by j.masanja06@gmail.com last updated on 06/Nov/16 $$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:\mathrm{x}. \\ $$$$\mathrm{3}^{\mathrm{x}+\mathrm{1}} =\mathrm{2}^{\mathrm{x}+\mathrm{2}} \\ $$ Answered by Rasheed Soomro last updated on 08/Nov/16 $$\mathrm{3}^{\mathrm{x}+\mathrm{1}} =\mathrm{2}^{\mathrm{x}+\mathrm{2}}…
Question Number 139998 by bramlexs22 last updated on 03/May/21 Commented by bramlexs22 last updated on 03/May/21 $$\mathrm{find}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\Delta\mathrm{ABC} \\ $$ Answered by som(math1967) last updated on…
Question Number 139978 by mathdanisur last updated on 02/May/21 $$\underset{\:−\mathrm{1}} {\overset{\:\mathrm{5}} {\int}}\left(\frac{\mathrm{1}}{\mathrm{2}}{x}−\mathrm{2}\right)\centerdot\mathrm{5}^{\boldsymbol{{x}}^{\mathrm{2}} −\mathrm{4}\boldsymbol{{x}}−\mathrm{5}} \:{dx}=? \\ $$ Answered by MJS_new last updated on 03/May/21 $$\int\left(\frac{\mathrm{1}}{\mathrm{2}}{x}−\mathrm{2}\right)\mathrm{5}^{{x}^{\mathrm{2}} −\mathrm{4}{x}−\mathrm{5}}…
Question Number 8905 by j.masanja06@gmail.com last updated on 04/Nov/16 $$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x} \\ $$$$\mathrm{3}^{\mathrm{x}} \:=\mathrm{9x} \\ $$ Answered by Rasheed Soomro last updated on 04/Nov/16 $$\mathrm{3}^{\mathrm{x}} \:=\mathrm{9x}\Rightarrow\mathrm{x}=\mathrm{3}^{\mathrm{x}−\mathrm{2}}…
Question Number 8885 by tawakalitu last updated on 03/Nov/16 $$\mathrm{Solve}\:\mathrm{simultaneously} \\ $$$$ \\ $$$$\mathrm{2x}\:+\:\mathrm{y}\:−\:\mathrm{2z}\:=\:\mathrm{0}\:………\:\left(\mathrm{i}\right) \\ $$$$\mathrm{7x}\:+\:\mathrm{6y}\:−\:\mathrm{9z}\:=\:\mathrm{0}\:…….\:\left(\mathrm{ii}\right) \\ $$$$\mathrm{x}^{\mathrm{3}} \:+\:\mathrm{y}^{\mathrm{3}} \:+\:\mathrm{z}^{\mathrm{3}} \:=\:\mathrm{1728}\:\:\:\:……\:\left(\mathrm{iii}\right) \\ $$ Answered by…
Question Number 139948 by qaz last updated on 02/May/21 $${If}\:\:\:\:{x}^{\mathrm{2}} +{xy}+{y}^{\mathrm{2}} =\mathrm{0} \\ $$$${find}\:::\:\:\:\left(\frac{{x}}{{x}+{y}}\right)^{\mathrm{2023}} +\left(\frac{{y}}{{x}+{y}}\right)^{\mathrm{2023}} \\ $$ Answered by Rasheed.Sindhi last updated on 04/May/21 $$\frac{{x}}{{y}}+\frac{{y}}{{x}}=−\mathrm{1}\Rightarrow\frac{{y}}{{x}}=−\left(\mathrm{1}+\frac{{x}}{{y}}\right)…