$$\left. \begin{array} { l } { - 12 \quad x ^ { 2 } - 1 x + 5 x - 35 = x ^ { 2 } + P } \\ { x + \frac { 1 } { x } = - 7 \quad \sqrt { 3 } x ^ { 2 } + \frac { 1 } { 2 } = \sqrt { 40 } } \end{array} \right.$$
$x=-\frac{36^{\frac{2}{3}}\sqrt[3]{63\sqrt{714\sqrt{3}+47673}+7942\sqrt{3}+189}}{756}-\frac{36^{\frac{2}{3}}\sqrt[3]{-63\sqrt{714\sqrt{3}+47673}+7942\sqrt{3}+189}}{756}-\frac{\sqrt{3}}{63}\approx -0.497943303$
$P=-\frac{13\sqrt[3]{36}\left(63\sqrt{714\sqrt{3}+47673}+7942\sqrt{3}+189\right)^{\frac{2}{3}}}{15876}-\frac{13\times 48^{\frac{5}{6}}\sqrt[3]{63\sqrt{714\sqrt{3}+47673}+7942\sqrt{3}+189}}{31752}-\frac{36^{\frac{2}{3}}\sqrt[3]{63\sqrt{714\sqrt{3}+47673}+7942\sqrt{3}+189}}{189}-\frac{13\sqrt[3]{36}\left(-63\sqrt{714\sqrt{3}+47673}+7942\sqrt{3}+189\right)^{\frac{2}{3}}}{15876}-\frac{13\times 48^{\frac{5}{6}}\sqrt[3]{-63\sqrt{714\sqrt{3}+47673}+7942\sqrt{3}+189}}{31752}-\frac{36^{\frac{2}{3}}\sqrt[3]{-63\sqrt{714\sqrt{3}+47673}+7942\sqrt{3}+189}}{189}-\frac{17\sqrt{3}}{63}-\frac{15448}{441}\approx -40.215091138$
