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

Solution:

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

The given equation is

x² - 6x + 9 = 0

Using the square method

x² - 6x + (-3)² = -9 + (-3)²

We can write it as

(x - 3)² = 0

Taking square root on both sides

x - 3 = 0

x = 3

Therefore, the real number x is 3 which is positive and there is no negative value

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

Summary:

For x = 3 is the real number where x value of x² - 6x + 9 is positive and there is no negative value.