Question

1. Use the quadratic formula to solve the equation. -2x^2+3x+5=0

Answer 1

The answer is x= 5/2 or -1

Answer 2

The formula for the solution is:
$x=\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

In your case: a=-2, b=3, c=5

Replace these in the formula and you'll get:
$x_1=\frac{-b + \sqrt{b^2 - 4ac}}{2a}=\frac{-3 + \sqrt{3^2 - 4 \cdot (-2) \cdot 5}}{2 \cdot (-2)}=-1$
$x_2=\frac{-b - \sqrt{b^2 - 4ac}}{2a}=\frac{-3 - \sqrt{3^2 - 4 \cdot (-2) \cdot 5}}{2 \cdot (-2)}= \frac{5}{2}$

So you have two roots:
x1 = -1
x2 = 5/2