Find the value or values of x in the quadratic equation x² = 6x - 9.

Solution:

Given, the quadratic equation is x² = 6x - 9.

We have to find the value of x.

The equation can be written as x² - 6x + 9 = 0.

Now, find the factors of the equation.

x² - 3x - 3x + 9 = 0

x(x - 3) - 3(x - 3) = 0

(x - 3)(x - 3) = 0

So, x - 3 = 0

x = 3

Therefore, the value of x is 3.

Find the value or values of x in the quadratic equation x² = 6x - 9.

Summary:

The value or values of x in the quadratic equation x² = 6x - 9 is 3.