# How do you solve x^2 - 6x + 9 = 0 graphically and algebraically?

Sep 2, 2017

$x = 3$

#### Explanation:

Given -

${x}^{2} - 6 x + 9 = 0$

${x}^{2} - 3 x - 3 x + 9 = 0$

$x \left(x - 3\right) - 3 \left(x - 3\right) = 0$

$\left(x - 3\right) \left(x - 3\right) = 0$

$x = 3$