Solve for the zeros of the quadratic function f(x) = x + 5 – 2x2.

1. Put the quadratic function in standard form.
f(x) = –2x2 + x + 5

2. Set the function equal to 0 to create a quadratic equation.
–2x2 + x + 5 = 0

3. Determine the values for a, b, and c.
a =

b =

c =

4. Analyze the discriminant.
b2 – 4ac =

The quadratic function will have