Category: Algebra

Question Number 157695 by amin96 last updated on 26/Oct/21 Answered by Rasheed.Sindhi last updated on 26/Oct/21 $$x^{16}+\frac{1}{x^{16}}={(x^8+\frac{1}{x^8})}^2-2=2207$$$${x}^{\mathrm{8}} +\frac{\mathrm{1}}{{x}^{\mathrm{8}}…

Question Number 157687 by MathSh last updated on 26/Oct/21 $$\mathrm{if}\mathrm{A};\mathrm{a};\mathrm{b}\in {\mathbb{Z}}^{+}\mathrm{and}6\cdot 40!=\mathrm{A}\cdot 2^{\mathbf{a}}\cdot 3^{\mathbf{b}}$$$$\mathrm{find}{(\mathrm{a}+\mathrm{b})}_{\mathbf{max}}=?$$ Commented by Rasheed.Sindhi last updated on 26/Oct/21 $$\left(\mathrm{a}+\mathrm{b}\right)_{\boldsymbol{\mathrm{max}}}…

Question Number 92146 by kpn last updated on 05/May/20 $$howdoifindintegersthatsatisfy$$$$x^2-y^2=2017$$ Commented by Prithwish Sen 1 last updated on 05/May/20…

Question Number 92137 by hore last updated on 05/May/20 $$\int \frac{2x}{1+x}$$ Commented by john santu last updated on 05/May/20 $$\int \frac{2xdx}{x+1}=\int \frac{2(x+1)-2}{x+1}dx$$$$=\int 2-\frac{2}{x+1}dx$$$$=\:\mathrm{2}{x}−\mathrm{2}\:\mathrm{ln}\mid{x}−\mathrm{1}\mid\:+\:\mathrm{c}\:…

Question Number 157663 by mathlove last updated on 26/Oct/21 Answered by TheSupreme last updated on 26/Oct/21 $$6543210$$$$1+0+0+0+0+0+2x^5$$$$1+3+0+0+0+0+2$$$$/-3+0+0+0+0+2-3x^4$$$$/\:−\mathrm{3}\:\:−\mathrm{9}\:\:+\mathrm{0}\:\:+\mathrm{0}\:\:+\mathrm{0}\:\:+\mathrm{0}…