Category: Algebra

Question Number 204410 by Humma last updated on 16/Feb/24 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 204384 by Abdullahrussell last updated on 15/Feb/24 Commented by Frix last updated on 15/Feb/24 $${35}^{36}=10m+5$$$${36}^{35}=10n+6$$$$\mathrm{4}^{\mathrm{10}{m}+\mathrm{5}} =\mathrm{100}{k}+\mathrm{24} \…

Question Number 204350 by universe last updated on 14/Feb/24 Answered by mr W last updated on 14/Feb/24 $$P\left(a\right)=a^4+a^{2}b+ac+d=1\dots \left(i\right)$$$${P}\left({b}\right)={ab}^{\mathrm{3}} +{b}^{\mathrm{3}} +{bc}+{d}=−\mathrm{1}\:\:\:…\left({ii}\right) \…

Question Number 204329 by mr W last updated on 13/Feb/24 $$solve\frac{1}{\left[x\right]}+\frac{1}{\left[2x\right]}=\left\{x\right\}+\frac{1}{3}$$ Answered by AST last updated on 13/Feb/24 $$xcannotbenegative,otherwise,L.H.SandR.H.S$$$$willhaveoppositesigns.xcannotalsogrow$$$${arbitrarily}\:{large},{otherwise}\:\frac{\mathrm{1}}{\left[{x}\right]}+\frac{\mathrm{1}}{\left[\mathrm{2}{x}\right]}\ll\frac{\mathrm{1}}{\mathrm{3}}…

Question Number 204270 by universe last updated on 10/Feb/24 Answered by witcher3 last updated on 10/Feb/24 $$\left(1\right)$$$$\mathrm{withe}\mathrm{recursion}\mathrm{We}\mathrm{can}\mathrm{easly}\mathrm{proov}\mathrm{that}{\mathrm{a}}_{\mathrm{n}}>0$$$$\mathrm{a}_{\mathrm{n}+\mathrm{1}} =\mathrm{f}\left(\mathrm{a}_{\mathrm{n}} \right);\mathrm{f}\left(\mathrm{x}\right)=\mathrm{ln}\left(\mathrm{1}+\mathrm{x}\right)\:\mathrm{increase}\:\mathrm{function} \…