Solve Quadratic Equations(Completing the Square)

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**Answer**

$x^{2}-10x+9=0$

or, $x^{2}-10x+9-9=-9$

or, $x^{2}-10x=-9$

or, $x^{2}-10x+25=-9+25$

or, $x^{2}-10x+25=16$

or, $\left(x-5\right)^2=\left(4\right)^2$

or, $x-5=\pm4$

or, $x =\pm4-5$

or, $x=-1$ and $x=-9$

There are two distinct solutions given by $x = -1$ and $x = -9$