# How do you solve x^2=6x-9 using the quadratic formula?

Mar 19, 2016

The answer is $x = 3$

#### Explanation:

If we move all terms to left we get:

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

which according to a formula ${\left(a - b\right)}^{2} = {a}^{2} - 2 a b + {b}^{2}$ can be written as:

${\left(x - 3\right)}^{2} = 0$

A square of an expression is zero if and only if this expression is zero, so we get:

$x - 3 = 0$

Finally after moving $- 3$ to the right side we get the answer $x = 3$