Finding Larger X-Intercept of a Quadratic Equation

Consider the quadratic equation given by:

$$2x^2 - 3x - 5 = 0$$

To find the x-intercepts of the parabola represented by this equation, use the quadratic formula:

$$x = \f\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

where $a$, $b$, and $c$ are the coefficients of the equation. In this case, $a = 2$, $b = -3$, and $c = -5$. After determining the solutions, provide the larger x-intercept as your grid-in answer.