Answer
$x = 3$
Work Step by Step
The given equation is
$x^{2}=6x−9$
Step 1:
Write the equation in standard form.
$x^{2}-6x+9=0$
Step 2:
Graph the related function
$y=x^{2}-6x+9$
Step 3:
Find the $x$-intercept(s).
The only $x$-intercept is at the vertex $(3, 0)$.
So the solution is $x=3$.
Check the solution:
$3^2-6(3)+9=0\checkmark$
