Question

How do you solve `x^2-6x+9<0`?

Answer 1

We have that `x^2-6x+9=(x-3)^2>=0` hence the inequality

`x^2-6x+9<0` has no solutions.

As you can see from the graph of `x^2-6x+9` there no values of x for which the inequality `x^2-6x+9<0` holds.