Category: Algebra

Question Number 160894 by HongKing last updated on 08/Dec/21 Answered by Kamel last updated on 09/Dec/21 $$a_{n+1}=a_{n+2}-a_{n+3}+a_n-a_{n+1}$$$${a}_{\mathrm{1}} +\underset{{k}=\mathrm{1}} {\overset{\mathrm{2021}}…

Question Number 160883 by cortano last updated on 08/Dec/21 $$\sqrt{\mathrm{x}+1}=\frac{{\mathrm{x}}^2-\mathrm{x}-2\sqrt[3]{2\mathrm{x}+1}}{\sqrt[3]{2\mathrm{x}+1}-3}$$$$\mathrm{x}\in \mathbb{R}$$ Answered by MJS_new last updated on 08/Dec/21 $$\mathrm{this}\mathrm{looks}\mathrm{suspicious}\mathrm{to}\mathrm{me}\mathrm{because}$$$$\sqrt{\varphi+\mathrm{1}}=\left(\mathrm{2}\varphi+\mathrm{1}\right)^{\mathrm{1}/\mathrm{3}}…

Question Number 29805 by mrW2 last updated on 12/Feb/18 $$f\left(x\right)=(x+a_1)(x+a_2)(x+a_3)\dots (x+a_n)$$$$findthecoefficientofterm{x}^k(0⩽k⩽n)$$ Commented by mrW2 last updated on…

Question Number 160871 by cortano last updated on 08/Dec/21 $$\sqrt[6]{{(2\sqrt[3]{\frac{2\sqrt{13}+5}{\sqrt{5}+2}}+2\sqrt[3]{\frac{2\sqrt{13}-5}{\sqrt{5}-2}}+1)}^2-1}=?$$ Answered by MJS_new last updated on 08/Dec/21 $${(\pm 5+2\sqrt{13})}^{1/3}=\pm \frac{1}{2}+\frac{\sqrt{13}}{2}$$$$\left(\pm\mathrm{2}+\sqrt{\mathrm{5}}\right)^{\mathrm{1}/\mathrm{3}} =\pm\frac{\mathrm{1}}{\mathrm{2}}+\frac{\sqrt{\mathrm{5}}}{\mathrm{2}}…

Question Number 95328 by mr W last updated on 24/May/20 Commented by mr W last updated on 24/May/20 $$repostedquestion$$ Commented by MJS last…