Find all possible values of x for which the distance between the points


Find all possible values of x for which the distance between the points A(x, −1) and B(5, 3) is 5 units.


Given AB = 5 units
Therefore, (AB)2 = 25 units







$\Rightarrow(5-x)=\pm \sqrt{9}$

$\Rightarrow 5-x=\pm 3$

$\Rightarrow 5-x=3$ or $5-x=-3$

$\Rightarrow x=2$ or 8

Therefore, x = 2 or 8.


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