Solve the inequality k^2 - 7k + 12.25 > 0.
We can see that k2 - 7k + 12.25 is a perfect square polynomial. This means:
k2 - 7k + 12.25
= (k - 3.5)2
(k - 3.5)2 > 0
k - 3.5 > 0 or k - 3.5 < 0
k > 3.5 or k < 3.5