Question

if the distance between the point (2,-2) and (-1,x) is 5, one of the value of x is

Answer 1

Hey Friend,

Let,
point A = (2,-2)
point B = (-1,X)

Distance AB = 5 units

Applying distance formula,
AB^2 = (x2 - x1)^2 + (y2 - y1)^2
(5)^2 = (-1 - 2)^2 + (X + 2)^2
25 = 9 + X^2 + 4 + 4X 
X^2 + 4X - 12 = 0
X^2 + 6X - 2X - 12 = 0
X(X + 6) -2(X + 6) = 0
(X - 2) (X + 6) = 0

Therefore, 
X = 2   or X = -6

Hope it helps!