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Category: Algebra

if-x-log27-9-logx-36-find-x-

Question Number 211706 by Nadirhashim last updated on 17/Sep/24 $$\:\:\:\:\:\boldsymbol{{if}}\:\:\boldsymbol{{x}}^{\boldsymbol{{log}}\mathrm{27}} +\:\:\:\mathrm{9}^{\boldsymbol{{logx}}} =\mathrm{36}\:\boldsymbol{{find}}\:\boldsymbol{{x}} \\ $$ Answered by mehdee7396 last updated on 17/Sep/24 $${x}^{\mathrm{3}{log}\mathrm{3}} +{x}^{\mathrm{2}{log}\mathrm{3}} =\mathrm{36}\:\: \\…

Inverse-root-formula-x-2c-b-b-2-4ac-1-The-antiroot-formula-is-derivedr-fom-the-abovementionedt-antiroo-formula-

Question Number 211679 by MrGaster last updated on 16/Sep/24 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\mathrm{Inverse}\:\mathrm{root}\:\mathrm{formula}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\boldsymbol{{x}}=\frac{\mathrm{2}\boldsymbol{{c}}}{−\boldsymbol{{b}}\pm\sqrt{\boldsymbol{{b}}^{\mathrm{2}} −\mathrm{4}\boldsymbol{{ac}}}} \\ $$$$\left(\mathrm{1}\right)\mathrm{The}“\:\mathrm{antiroot}\:\mathrm{formula}''\:\mathrm{is}\:\mathrm{derivedr} \\ $$$$\mathrm{fom}\:\mathrm{the}\:\mathrm{abovementionedt} \\ $$$$\mathrm{antiroo}\:\mathrm{formula}. \\ $$ Commented by…

Resoudre-x-x-x-1-x-1-x-2-

Question Number 211673 by a.lgnaoui last updated on 16/Sep/24 $$\:\:\:\boldsymbol{{Resoudre}} \\ $$$$\:\:^{\boldsymbol{\mathrm{x}}} \sqrt{\frac{\boldsymbol{\mathrm{x}}}{\boldsymbol{\mathrm{x}}−\mathrm{1}}}\:\:\:=\left(\boldsymbol{\mathrm{x}}−\mathrm{1}\right)^{\left(\boldsymbol{\mathrm{x}}−\mathrm{2}\right)} . \\ $$ Answered by Frix last updated on 16/Sep/24 $$\mathrm{You}\:\mathrm{can}\:\mathrm{only}\:\mathrm{approximate} \\…

f-x-x-4-x-3-x-2-3x-6-price-range-E-f-

Question Number 211700 by hardmath last updated on 16/Sep/24 $$\mathrm{f}\left(\mathrm{x}\right)\:=\:\mathrm{x}^{\mathrm{4}} −\mathrm{x}^{\mathrm{3}} \:+\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{3x}−\mathrm{6} \\ $$$$\mathrm{price}\:\mathrm{range}:\:\mathrm{E}\left(\mathrm{f}\right)\:=\:? \\ $$ Commented by Frix last updated on 16/Sep/24 $$\mathrm{What}\:\mathrm{do}\:“\mathrm{price}\:\mathrm{range}''\:\mathrm{and}\:“{E}\left({f}\right)''\:\mathrm{mean}?…

Question-211634

Question Number 211634 by BaliramKumar last updated on 15/Sep/24 Answered by golsendro last updated on 15/Sep/24 $$\:\mathrm{x}^{\mathrm{3}} +\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{3}} }\:=\:\frac{\mathrm{64}+\mathrm{1}}{\mathrm{8}}\:=\:\mathrm{2}^{\mathrm{3}} +\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{3}} } \\ $$$$\:\mathrm{y}^{\mathrm{3}} +\frac{\mathrm{1}}{\mathrm{y}^{\mathrm{3}} }\:=\:\frac{\mathrm{729}+\mathrm{1}}{\mathrm{27}}=\:\mathrm{3}^{\mathrm{3}}…

sin-9x-sin-5x-sin-3x-find-x-

Question Number 211657 by hardmath last updated on 15/Sep/24 $$\mathrm{sin}\left(\mathrm{9x}\right)\:=\:\mathrm{sin}\left(\mathrm{5x}\right)\:+\:\mathrm{sin}\left(\mathrm{3x}\right) \\ $$$$\mathrm{find}:\:\:\mathrm{x}\:=\:? \\ $$ Answered by Frix last updated on 15/Sep/24 $$\mathrm{sin}\:\left(\left(\mathrm{2}{n}+\mathrm{1}\right){x}\right)\:=\mathrm{sin}\:{x}\:\left(\mathrm{1}+\mathrm{2}\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\:\mathrm{cos}\:\left(\mathrm{2}{kx}\right)\right) \\…