What are the values of x in the equation x² - 6x + 9 = 25?

Solution:

Given, equation is x² - 6x + 9 = 25

x² - 6x + 9 - 25 = 0

x² - 6x - 16 = 0

On simplification,

x² - 8x + 2x - 16 = 0

x(x - 8) + 2(x - 8) = 0

(x + 2)(x - 8) = 0

Now, x + 2 = 0

⇒ x = -2

x - 8 = 0

⇒ x = 8

Therefore, the values of x are -2 and 8.

What are the values of x in the equation x² - 6x + 9 = 25?

Summary:

The values of x in the equation x² - 6x + 9 = 25 are -2 and 8.