Find the value of a if the distance between the points (a, 2),(3, 4) is 2

An example on how to find the value of a if the distance between the points (a, 2),(3, 4) is 2.

$(a,2),(3,4)\,$

The distance between the given points is
$\sqrt{(a-3)^2+(2-4)^2}=2\,$

$\sqrt{a^2+9-6a+4}=2\,$

Squaring on both sides,
$a^2-6a+13=4\,$
$a^2-6a+9=0\,$
$(a-3)^2=0\,$
Finally, the value of a is 3.

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