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Category: Algebra

B-O-M-Each-is-a-distinct-positive-integer-If-B-O-M-223-Find-max-B-O-M-

Question Number 199183 by hardmath last updated on 29/Oct/23 $$\mathrm{B},\mathrm{O},\mathrm{M}\:-\:\mathrm{Each}\:\mathrm{is}\:\mathrm{a}\:\mathrm{distinct}\:\mathrm{positive} \\ $$$$\mathrm{integer} \\ $$$$\mathrm{If}\:\:\:\mathrm{B}\:\centerdot\:\mathrm{O}\:\centerdot\:\mathrm{M}\:=\:\mathrm{223} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{max}\left(\mathrm{B}\:+\:\mathrm{O}\:+\:\mathrm{M}\right)=? \\ $$ Answered by mr W last updated on…

Question-199165

Question Number 199165 by hardmath last updated on 28/Oct/23 Answered by Frix last updated on 28/Oct/23 $$−\mathrm{1}=\mathrm{e}^{\mathrm{i}\pi} \\ $$$$\left(−\mathrm{1}\right)^{\pi} =\mathrm{e}^{\mathrm{i}\pi^{\mathrm{2}} } = \\ $$$$=\mathrm{cos}\:\pi^{\mathrm{2}} \:+\mathrm{i}\:\mathrm{sin}\:\pi^{\mathrm{2}}…

a-2-b-1-1999-how-many-natural-solutions-of-the-equation-a-b-have-

Question Number 199133 by hardmath last updated on 28/Oct/23 $$\mathrm{a}^{\mathrm{2}} \mathrm{b}\:−\:\mathrm{1}\:=\:\mathrm{1999} \\ $$$$\mathrm{how}\:\mathrm{many}\:\mathrm{natural}\:\mathrm{solutions}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{equation}\:\left(\mathrm{a},\mathrm{b}\right)\:\mathrm{have}? \\ $$ Answered by Rasheed.Sindhi last updated on 28/Oct/23 $$\mathrm{a}^{\mathrm{2}}…

8-x-1-1-4-x-1-x-1-1-4-5-x-2-1-2-3-1-4-x-

Question Number 199159 by cortano12 last updated on 28/Oct/23 $$\:\sqrt[{\mathrm{4}}]{\mathrm{8}\left(\mathrm{x}+\mathrm{1}\right)}\:+\sqrt[{\mathrm{4}}]{\frac{\mathrm{x}+\mathrm{1}}{\mathrm{x}−\mathrm{1}}}\:=\sqrt[{\mathrm{4}}]{\mathrm{5}\left(\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} −\mathrm{3}}\: \\ $$$$\:\mathrm{x}=? \\ $$ Answered by Frix last updated on 28/Oct/23 $$\mathrm{You}\:\mathrm{can}\:\mathrm{only}\:\mathrm{approximate} \\…

a-2-b-73-b-2-a-73-find-a-b-

Question Number 199112 by hardmath last updated on 28/Oct/23 $$\begin{cases}{\mathrm{a}^{\mathrm{2}} \:−\:\mathrm{b}\:=\:\mathrm{73}}\\{\mathrm{b}^{\mathrm{2}} \:−\:\mathrm{a}\:=\:\mathrm{73}}\end{cases}\:\:\:\:\:\mathrm{find}:\:\mathrm{a},\mathrm{b}\:=\:? \\ $$ Answered by mr W last updated on 28/Oct/23 $$\left({i}\right)−\left({ii}\right): \\ $$$${a}^{\mathrm{2}}…