Question

$$\left. \begin{array} { l } { 2 x ^ { 2 } - 9 x - 48 = 0 } \\ { x ^ { 2 } = 9 } \end{array} \right.$$

Answer

x=(9+sqrt(465))/4,(9-sqrt(465))/4

Solution


Use the Quadratic Formula.
\[x=\frac{9+\sqrt{465}}{4},\frac{9-\sqrt{465}}{4}\]

Decimal Form: 7.640965, -3.140965