Category: Algebra

Question Number 199381 by Mingma last updated on 02/Nov/23 Answered by witcher3 last updated on 02/Nov/23 $$\left(202\right)=2.101$$$$\frac{\left(201\right)!}{\mathrm{k}}\equiv 0\left[202\right]0,\mathrm{\forall }\mathrm{k}\in \{1,\dots \dots 201)-\{2,101)$$$$\mathrm{J}\equiv \frac{201!}{101}+\frac{201!}{2}\left[202\right]$$$$\frac{\mathrm{201}!}{\mathrm{2}}=\mathrm{202}.\mathrm{3}.\mathrm{2}.\underset{\mathrm{k}=\mathrm{5},\mathrm{k}\neq\mathrm{101}} {\overset{\mathrm{201}} {\prod}}\mathrm{k}\equiv\mathrm{0}\left[\mathrm{202}\right]…

Question Number 199308 by AR19 last updated on 01/Nov/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 199290 by ajfour last updated on 31/Oct/23 $$Ifx=\sqrt{p+iq}+\sqrt{h+ik}$$$$and\frac{p}{q}\ne \frac{k}{h}thenrelatep,q,h,k\in \mathbb{R}$$$$suchthatx\in \mathbb{R}.$$ Commented by Frix last updated on 31/Oct/23 $$\sqrt{{x}+{y}\mathrm{i}}={r}\mathrm{e}^{\mathrm{i}\theta} \:\mathrm{with}\:{r}>\mathrm{0}\wedge−\frac{\pi}{\mathrm{2}}<\theta\leqslant\frac{\pi}{\mathrm{2}}…

Question Number 199226 by mr W last updated on 30/Oct/23 $$find$$$$\frac{2\sin 2°+4\sin 4°+\dots +180\sin 180°}{90}=?$$$$$$$$\text{You can't use 'macro parameter character \#' in math mode}$$ Answered by mr W last updated…

Question Number 199194 by hardmath last updated on 29/Oct/23 $${\mathrm{a}}_1,{\mathrm{a}}_2,\dots$$$${\mathrm{a}}_1=1$$$${\mathrm{a}}_{2\mathrm{n}}=\mathrm{n}\cdot {\mathrm{a}}_{\mathrm{n}}$$$${\mathrm{a}}_{2^{100}}=?$$ Answered…