TracyBloom

$\left\{\begin{matrix} x+y+z=6 & & \\ xy+yz+zx=11 & & \\ x^{2} +y^{2}+z^{2}=14& & \end{matrix}\right.$

$\frac{a^{2}}{x}$ +$\frac{b^{2}}{y}$ + $\frac{c^{2}}{z}$ $\geq$ $\frac{\left ( a+b+c \right )^{2}}{x+y+z}$

$\frac{a^{2}}{x}$ +$\frac{b^{2}}{y}$ + $\frac{c^{2}}{z}$ $\geq$ $\frac{\left ( a+b+c \right )^{2}}{x+y+z}$

x^​2=$\sqrt{x^{3}-x^{2}}$ + $\sqrt{x^{2}-x}$