Question

What will be the value of x, if the distance between the points (5, 11) and (2, x) is 10?

Answer 1

Two answers below

Explanation:

Using distance formula :

d^2 = 10^2 = 100

100 = (2-5)^2 + ( x-11)^2

100 = 9 + (x^2-22x+121)

x^2 -22x + 30 = 0

Use Quadratic formula with a = 1 b = -22 and c = 30 to find :

x = 11 + sqrt(91) OR 11- sqrt(91)