Question

Find the values of x for which the distance between the points A(x, 2) and B(9, 8) is 10 units.

Answer 1

Step-by-step explanation:

A(x,2)___________B(9,8)

• AB= 10 units
• AB2 = 100 unit

(9-x)2 = ( 8-2)2

81 + x2- 18x = 36

x2 -18x +81 -36

x2 -18x +45 =0

x2 -15x -3x +45=0

x(x -15) - 3(x -15)=0

(x-15) (x-3)=0

x-15=0 , x -3=0

x = 15 , x= 3.