Difference of Roots in a Quadratic Equation

Consider the quadratic equation given by:

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

First, determine the two roots of this equation using the quadratic formula:

$$x = rac{{-b ext{±} ext{sqrt}(b^2 - 4ac)}}{{2a}}$$

where $a$, $b$, and $c$ are the coefficients from the equation $ax^2 + bx + c = 0$. After finding the roots, calculate the difference between the larger root and the smaller root. Enter your answer in the grid below as a decimal.