Range of k for Non-Real Roots: Solve x2 + (k - 2) x + (k + 3)

[Paulo2014]

Homework Statement

Find the range of values of k for which the roots of the equation
are not real.

Homework Equations

y = x2 + (k - 2) x + (k + 3)

The Attempt at a Solution

I have no idea...

 

[dirk_mec1]

Look at the discriminant.

 

[tiny-tim]

Look at the discriminant.

Or complete the square (same result, obviously)