Category: Algebra

Question Number 193794 by Rajpurohith last updated on 20/Jun/23 $$LetHbeasubgroupof(\mathbb{R},+)suchthatH\cap [-1,1]$$$$containsanonzeroelement.$$$$ProvethatHiscyclic.$$ Answered by TheHoneyCat last updated on 28/Jun/23 $$ \…

Question Number 193769 by cortano12 last updated on 19/Jun/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 193707 by Mingma last updated on 18/Jun/23 Answered by Subhi last updated on 18/Jun/23 $$\frac{{a}^{\mathrm{2}} }{{b}^{\mathrm{2}} +{c}^{\mathrm{2}} }+\frac{{b}^{\mathrm{2}} }{{a}^{\mathrm{2}} +{c}^{\mathrm{2}} }+\frac{{c}^{\mathrm{2}} }{{a}^{\mathrm{2}} +{b}^{\mathrm{2}}…

Question Number 193687 by Mingma last updated on 18/Jun/23 Commented by Frix last updated on 18/Jun/23 $$\mathrm{Squaring}\mathrm{\&}\mathrm{transforming}3\mathrm{times}\mathrm{leads}\mathrm{to}$$$${x}^{\mathrm{8}} −\frac{\mathrm{10}{x}^{\mathrm{7}} }{\mathrm{3}}+\frac{\mathrm{143}{x}^{\mathrm{6}} }{\mathrm{27}}−\frac{\mathrm{854}{x}^{\mathrm{5}} }{\mathrm{81}}+\frac{\mathrm{4352}{x}^{\mathrm{4}} }{\mathrm{243}}−\frac{\mathrm{4678}{x}^{\mathrm{3}} }{\mathrm{243}}+\frac{\mathrm{611}{x}^{\mathrm{2}}…

Question Number 193647 by Rupesh123 last updated on 17/Jun/23 Answered by MM42 last updated on 17/Jun/23 $$bothnumbersa,bcannotbeodd.$$$$soa=2orb=2$$$$ifa=2\mathrm{\&}b=3\Rightarrow p=2^3+7\times 3^2=71✓$$$${if}\:\:{a}=\mathrm{3}\:\&\:{b}=\mathrm{2}\Rightarrow\:{p}=\mathrm{3}^{\mathrm{2}}…