Category: Arithmetic

Question Number 137026 by metamorfose last updated on 29/Mar/21 $$2971x\equiv 1792\left(mod1000\right)\dots x\in Z?$$ Commented by yutytfjh67ihd last updated on 30/Mar/21 Commented by mr W last updated…

Question Number 136987 by Ousmane last updated on 28/Mar/21 $$\Rightarrow 2x$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 5834 by sanusihammed last updated on 31/May/16 $$Findallpositiveintegersnforwhichthereexist$$$$non-negativeinteger.a_1{a}_2{a}_3\dots \dots .a_n.Suchthat$$$$\frac{\mathrm{1}}{\mathrm{2}^{{a}_{\mathrm{1}} } }\:+\:\frac{\mathrm{1}}{\mathrm{2}^{{a}_{\mathrm{2}} } }\:+\:\frac{\mathrm{1}}{\mathrm{2}^{{a}_{\mathrm{3}} } }\:+\:….\:+\:\frac{\mathrm{1}}{\mathrm{2}^{{a}_{{n}} }…

Question Number 71294 by Mohamed Amine Bouguezzoul last updated on 13/Oct/19 $$solvein\mathbb{Z}\frac{1}{x}+\frac{1}{y}=\frac{1}{p}withp\in \mathbb{P}$$ Commented by Rasheed.Sindhi last updated on 13/Oct/19 $$\frac{x+y}{xy}=\frac{1}{p}$$$$\frac{{xy}}{{x}+{y}}={p} \…

Question Number 136739 by Ar Brandon last updated on 25/Mar/21 $$\mathrm{Given}0<\mathrm{a}<\mathrm{b},\mathrm{prove}\mathrm{that}$$$$\frac{{(\mathrm{b}-\mathrm{a})}^2}{8\mathrm{b}}⩽\frac{\mathrm{a}+\mathrm{b}}{2}-\sqrt{\mathrm{ab}}⩽\frac{{(\mathrm{b}-\mathrm{a})}^2}{8\mathrm{a}}$$ Answered by snipers237 last updated on 26/Mar/21 $$\frac{{a}+{b}}{\mathrm{2}}−\sqrt{{ab}\:}=\:\frac{\left(\sqrt{{a}}−\sqrt{{b}}\right)^{\mathrm{2}}…