For what real numbers x is the value of x2 - 6x + 9 negative

A real numbers are numbers that can be found on a number line, they include both rational and irrational numbers.

We can first solve the equation;

x² - 6x + 9 = 0, using completing square method;

x² - 6x + (-3) ² = - 9 + (-3) ²

(x-3) ² = 0

x = 3

therefore, both values of x are 3, thus the expression has no real number x is negative.