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Category: Algebra

Question-32424

Question Number 32424 by Tinkutara last updated on 24/Mar/18 Answered by mrW2 last updated on 24/Mar/18 $$\frac{\mathrm{6}!}{\mathrm{2}!\mathrm{2}!}−\mathrm{2}×\left(\frac{\mathrm{5}!}{\mathrm{2}!}−\mathrm{4}!\right)−\mathrm{4}!=\mathrm{84} \\ $$$$\Rightarrow{answer}\:\left(\mathrm{3}\right) \\ $$ Commented by Tinkutara last…

1-1-

Question Number 32395 by saru53424@gmail.com last updated on 24/Mar/18 $$\mathrm{1}+\mathrm{1} \\ $$ Commented by abdo imad last updated on 24/Mar/18 $$\mathrm{1}+\mathrm{1}\:=\mathrm{2}\:{inside}\:{k}\:/{car}\left({k}\right)\neq\mathrm{2} \\ $$$$\mathrm{1}+\mathrm{1}\:=\mathrm{0}\:{inside}\:{Z}/\mathrm{2}{Z} \\ $$$$\mathrm{1}+\mathrm{1}\:=−\mathrm{1}\:{inside}\:{Z}/\mathrm{3}{Z}….…

let-a-gt-0-and-gt-0-fixed-solve-for-0-the-equation-2a-2-cos-x-2-2-x-a-x-a-4-x-

Question Number 163457 by HongKing last updated on 07/Jan/22 $$\mathrm{let}\:\:\boldsymbol{\mathrm{a}}>\mathrm{0}\:\:\mathrm{and}\:\:\boldsymbol{\lambda}>\mathrm{0}\:\:\mathrm{fixed} \\ $$$$\mathrm{solve}\:\mathrm{for}\:\:\left(\mathrm{0};\infty\right)\:\:\mathrm{the}\:\mathrm{equation}: \\ $$$$\mathrm{2a}^{\mathrm{2}} \mathrm{cos}\left(\frac{\mathrm{x}}{\mathrm{2}\lambda}\:-\:\frac{\mathrm{2}\lambda}{\mathrm{x}}\right)\:=\:\mathrm{a}^{\frac{\boldsymbol{\mathrm{x}}}{\boldsymbol{\lambda}}} \:\:+\:\:\mathrm{a}^{\frac{\mathrm{4}\boldsymbol{\lambda}}{\boldsymbol{\mathrm{x}}}} \\ $$ Commented by mr W last updated on…

Question-97920

Question Number 97920 by Lekhraj last updated on 10/Jun/20 Commented by 06122004 last updated on 10/Jun/20 $$\mathrm{x}^{\mathrm{3}} −\mathrm{4x}=\mathrm{15}\Rightarrow\mathrm{x}^{\mathrm{3}} −\mathrm{3x}^{\mathrm{2}} +\mathrm{3x}^{\mathrm{2}} −\mathrm{9x}+\mathrm{5x}−\mathrm{15}=\mathrm{0}\Rightarrow \\ $$$$\Rightarrow\left(\mathrm{x}−\mathrm{3}\right)\left(\mathrm{x}^{\mathrm{2}} +\mathrm{3x}+\mathrm{5}\right)=\mathrm{0}\Rightarrow\mathrm{x}^{\mathrm{2}} +\mathrm{3x}=−\mathrm{5}\Rightarrow…

Solve-for-real-numbers-3-x-x-3-1-1-x-12-

Question Number 163452 by HongKing last updated on 07/Jan/22 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{real}\:\mathrm{numbers}: \\ $$$$\mathrm{3}^{\boldsymbol{\mathrm{x}}\:\sqrt{\boldsymbol{\mathrm{x}}}} \:\:+\:\:\mathrm{3}^{\mathrm{1}\:+\:\frac{\mathrm{1}}{\:\sqrt{\boldsymbol{\mathrm{x}}}}} \:\:=\:\mathrm{12} \\ $$ Commented by mr W last updated on 07/Jan/22 $${i}\:{don}'{t}\:{think}\:{such}\:{equations}\:{have}…

Question-97919

Question Number 97919 by Lekhraj last updated on 10/Jun/20 Commented by MJS last updated on 10/Jun/20 $${p}\left({x}\right)={ax}^{\mathrm{5}} +{bx}^{\mathrm{4}} +{cx}^{\mathrm{3}} +{dx}^{\mathrm{2}} +{ex}+{f} \\ $$$$\mathrm{insert}\:\mathrm{the}\:\mathrm{given}\:\mathrm{pairs}\:\left({x},\:{p}\left({x}\right)\right)\:\mathrm{and} \\ $$$$\mathrm{solve}\:\mathrm{for}\:\mathrm{the}\:\mathrm{constants}…