2x^2+7x-15=0

If r and s are two solutions of the equation above and r > s, which of the following is the value of r-s?

First step is to factorize the given expression as follows:

2x^2 + 7x - 15 = (2x-3) (x+5)

This means that the two roots of the equation are 3/2 (or 1.5) and - 5

Now, we will get r and s:

we are given that the value of r is greater than the value of s, since 1.5 is greater than - 5, therefore:

r = 1.5

s = - 5