Solve Quadratic Equations(Completing the Square)

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**Answer**

$x^{2}-10x+24=0$

or, $x^{2}-10x+24-24=-24$

or, $x^{2}-10x=-24$

or, $x^{2}-10x+25=-24+25$

or, $x^{2}-10x+25=1$

or, $\left(x-5\right)^2=\left(1\right)^2$

or, $x-5=\pm1$

or, $x =\pm1-5$

or, $x=-4$ and $x=-6$

There are two distinct solutions given by $x = -4$ and $x = -6$