Category: Algebra

Question Number 80199 by peter frank last updated on 31/Jan/20 Commented by mr W last updated on 08/Feb/20 $$allareclearifyouhavealookat$$$$thegraphofthefunctions.$$ Answered by…

Question Number 80178 by Power last updated on 31/Jan/20 Commented by mr W last updated on 31/Jan/20 $$noexactvaluepossible!$$$${x}^{\mathrm{25}} \underset{{k}=\mathrm{1}} {\overset{\mathrm{25}} {\prod}}\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{3}^{{k}} }\right)=\mathrm{1} \…

Question Number 80160 by peter frank last updated on 31/Jan/20 $${\int }_0^{\mathrm{\infty }}\frac{x^3}{e^{2x}-e^x}$$ Commented by mathmax by abdo last updated…

Question Number 145687 by mathdanisur last updated on 07/Jul/21 $$ifq⩾3;a>-1then:$$$${(1+a)}^{\mathit{q}}⩾(1+2a){(1+a)}^{\mathit{q}-2}⩾1+qa$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 145683 by imjagoll last updated on 07/Jul/21 $$\frac{3\sqrt[\sqrt{4}]{360}-2\sqrt[!3]{162}}{\sqrt{10}-\sqrt{2}}=?$$ Answered by puissant last updated on 07/Jul/21 $$\sqrt{4}=2;!3=3!\mid \frac{1!}{0!}-\frac{1!}{1!}-\frac{1!}{2!}+\frac{1!}{3!}\mid$$$$\Rightarrow \frac{3\sqrt{360}-2\sqrt{162}}{\sqrt{10}-\sqrt{2}}=\frac{18\sqrt{10}-18\sqrt{2}}{\sqrt{10}-\sqrt{2}}$$$$=\frac{\mathrm{18}\left(\sqrt{\mathrm{10}}−\sqrt{\mathrm{2}}\right)}{\left(\sqrt{\mathrm{10}}−\sqrt{\mathrm{2}}\right)}\:=\:\mathrm{18}.. \…