Square root of a difference of two terms squared
In finding the equation of a parabola given the focus/directrix, I'm given
as an example the square root of the distance formula
$$\sqrt{(x_0-a)^2+(y_0-b)^2}=|y_0-c|$$ when the square root is evaluated
the resultant equation is $$(x_0-a)^2+(y_0-b)^2=(y_0-c)^2$$ I'm wondering
why the expression $(x_0-a)$ remains squared in this simplification.
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