Answer
$3$
Work Step by Step
Using $\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$ (or the Quadratic Formula), the solutions of the given quadratic equation, $
x^2-6x+9
,$ are
\begin{array}{l}\require{cancel}
\dfrac{-(-6)\pm\sqrt{(-6)^2-4(1)(9)}}{2(1)}
\\\\=
\dfrac{6\pm\sqrt{36-36}}{2}
\\\\=
\dfrac{6\pm\sqrt{0}}{2}
\\\\=
\dfrac{6}{2}
\\\\=
3
.\end{array}
Hence, the solutions are $
3
.$
