# Find the range of values of k for which #" "x^2 + (k+3)x +4k >3# for all real values of #x#?

##### 1 Answer

Jul 4, 2018

#### Explanation:

Rewrite as

Look for the roots of the polynomial:

which simplifies into

so, if

So, this time, we look for the roots of the quadratic equation for

So, this is a parabola, concave up, with roots