Category: Algebra

Question Number 201149 by Mingma last updated on 30/Nov/23 Answered by witcher3 last updated on 03/Dec/23 $$\mathrm{x}=\mathrm{n}\in \mathbb{N}\mathrm{y}=\frac{1}{\mathrm{n}},\mathrm{z}=\frac{1}{\mathrm{n}},\mathrm{n}⩾2$$$$\mathrm{\forall }\mathrm{n}\in \mathbb{N}-\{0,1\}(\mathrm{n},\frac{1}{\mathrm{n}},\frac{1}{\mathrm{n}})\mathrm{is}\mathrm{solution}$$$$$$ Terms of…

Question Number 201106 by mnjuly1970 last updated on 29/Nov/23 $$$$$$calculate\dots$$$$$$$$\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{\zeta \left(2n\right)}{2^n.n}=?$$$$$$ Answered by…

Question Number 201041 by hardmath last updated on 28/Nov/23 $$4\left(33\right)7$$$$4\left(24\right)6$$$$5(?)4$$$$$$$$a)9b)18c)27d)36$$ Answered by Frix last updated…

Question Number 200971 by Mingma last updated on 27/Nov/23 Answered by AST last updated on 27/Nov/23 $$WLOG,letabethemaxelement$$$$abcd=a+b+c+d⩽4a\Rightarrow bcd⩽4$$$$bcd=1\Rightarrow b=c=d=1\Rightarrow a+3=a\left(absurd\right)$$$$bcd=2\Rightarrow b+c+d=4\Rightarrow 4+a=2a\Rightarrow a=4$$$$\Rightarrow\left({a},{b},{c},{d}\right)=\left(\mathrm{4},\mathrm{2},\mathrm{1},\mathrm{1}\right);\left(\mathrm{4},\mathrm{1},\mathrm{2},\mathrm{1}\right);\left(\mathrm{4},\mathrm{1},\mathrm{1},\mathrm{2}\right)…

Question Number 200885 by cortano12 last updated on 26/Nov/23 $$\cancel{\underset{―}{\underbrace{\mathit{x}}}}$$ Commented by cortano12 last updated on 26/Nov/23 $$\mathfrak{f}$$ Answered by Frix…