Category: Algebra

Question Number 189858 by Shrinava last updated on 23/Mar/23 Answered by mr W last updated on 23/Mar/23 $$f\left(x\right)=x^{\frac{1}{x}}isstrictlyincreasingfor0<x<e$$$$since1<\sqrt{e}<\sqrt{\pi }<e,$$$$\left(\sqrt{{e}}\right)^{\frac{\mathrm{1}}{\:\sqrt{{e}}}} <\left(\sqrt{\pi}\right)^{\frac{\mathrm{1}}{\:\sqrt{\pi}}} \…

Question Number 124314 by liberty last updated on 02/Dec/20 $$\{\begin{array}{l}x\sqrt{x}+y\sqrt{y}=19\\ x\sqrt{y}+y\sqrt{x}=15\end{array}.findx+y$$$$\{\begin{array}{l}x\sqrt{x}+y\sqrt{y}=133\\ y\sqrt{x}-x\sqrt{y}=30\end{array}.findx+y+xy$$$$\{\begin{array}{l}\sqrt{x}+y=53\\ x+\sqrt{y}=23\end{array}.findx+y$$ Commented by Dwaipayan Shikari last updated on 02/Dec/20 $$\sqrt{{x}}+{y}=\mathrm{53}…

Question Number 124312 by liberty last updated on 02/Dec/20 $$3^x+3^{-x}=3-{(x-3)}^2$$$$x=?$$ Answered by MJS_new last updated on 02/Dec/20 $$\mathrm{3}^{{x}} +\mathrm{3}^{−{x}}…

Question Number 58775 by MJS last updated on 29/Apr/19 $$\mathrm{solve}\mathrm{exactly}:$$$$x^8-8x^7-16x^6+208x^5-152x^4-928x^3+704x^2+1088x-368=0$$ Terms of Service Privacy…

Question Number 58772 by hhghg last updated on 29/Apr/19 $$\frac{1}{6}\times \frac{2}{5}$$$$$$ Answered by George Mark Samuel last updated on 29/Apr/19 $$\frac{\mathrm{1}}{\mathrm{6}}×\frac{\mathrm{2}}{\mathrm{5}}=\frac{\mathrm{1}}{\mathrm{15}} \…