Category: Algebra

Question Number 88611 by M±th+et£s last updated on 11/Apr/20 $$provethat$$$$\frac{1+p^2+p^4+\dots \dots +p^{2n}}{p+p^3+p^5+\dots ..p^{2n-1}}>\frac{n+1}{np}$$ Terms of Service Privacy Policy…

Question Number 88594 by mr W last updated on 11/Apr/20 $$solveforx\in \mathbb{C}$$$$\cos \left(x\right)=a+bi$$ Commented by abdomathmax last updated on 11/Apr/20 $$\Rightarrow{ch}\left({ix}\right)\:={a}+{bi}\:\Rightarrow\frac{{e}^{{ix}} \:+{e}^{−{ix}} }{\mathrm{2}}={a}+{bi}\:\Rightarrow…

Question Number 88590 by akash4081 last updated on 11/Apr/20 $$a^{a^{a^{a^3}}}=5$$$$find-a$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 23000 by Tinkutara last updated on 24/Oct/17 $$\mathrm{Let}n\mathrm{be}\mathrm{a}\mathrm{positive}\mathrm{integer}\mathrm{and}{p}_1,p_2,$$$$\dots ,p_n\mathrm{be}n\mathrm{prime}\mathrm{numbers}\mathrm{all}\mathrm{larger}$$$$\mathrm{than}5\mathrm{such}\mathrm{that}6\mathrm{divides}{p}_1^2+p_2^2+\dots +$$$${p}_{{n}} ^{\mathrm{2}} .\:\mathrm{Prove}\:\mathrm{that}\:\mathrm{6}\:\mathrm{divides}\:{n}.…

Question Number 154051 by mathdanisur last updated on 13/Sep/21 $$\mathrm{let}\mathrm{a}\ne \mathrm{b};\mathrm{b}\ne \mathrm{c}\mathrm{and}\mathrm{c}\ne \mathrm{a}$$$$\mathrm{find}\mathrm{the}\mathrm{minimum}\mathrm{value}\mathrm{of}$$$$\mathbf{S}=\mid \frac{\mathrm{a}}{\mathrm{b}-\mathrm{c}}\mid +\mid \frac{\mathrm{b}}{\mathrm{c}-\mathrm{a}}\mid +\mid \frac{\mathrm{c}}{\mathrm{a}-\mathrm{b}}\mid$$ Terms of Service Privacy Policy Contact: info@tinkutara.com