Solve {l}{86t^2-76t+11=0}{u=866-76t+17}{v=u}{w=v}{text{Solvefor}xtext{where}}{x=w}

$$\left. \begin{array} { l } { 86 t ^ {2} - 76 t + 11 = 0 }\\ { u = 866 - 76 t + 17 }\\ { v = u }\\ { w = v }\\ { \text{Solve for } x \text{ where} } \\ { x = w } \end{array} \right.$$

Solve for t, u, v, w, x

$$x=\frac{36525-38\sqrt{498}}{43}\approx 829.697564722\text{, }t=\frac{\sqrt{498}}{86}+\frac{19}{43}\approx 0.701347833\text{, }u=\frac{36525-38\sqrt{498}}{43}\approx 829.697564722\text{, }v=\frac{36525-38\sqrt{498}}{43}\approx 829.697564722\text{, }w=\frac{36525-38\sqrt{498}}{43}\approx 829.697564722$$

$$x=\frac{38\sqrt{498}+36525}{43}\approx 869.139644581\text{, }t=-\frac{\sqrt{498}}{86}+\frac{19}{43}\approx 0.182373098\text{, }u=\frac{38\sqrt{498}+36525}{43}\approx 869.139644581\text{, }v=\frac{38\sqrt{498}+36525}{43}\approx 869.139644581\text{, }w=\frac{38\sqrt{498}+36525}{43}\approx 869.139644581$$