Question

if the distance between two points A(a,2) and B(3,4)is 8 then find a

Answer 1

The distance between 2 points A&B is 8.

Distance formula is :

Root of { (X2-X1)3-(Y2-Y1)² }

X2=3

X1=a

Y2=4

Y1=2

Distance between A&B is

√{(3-a)²+(4-2)²= 8

Square both sides,

(3-a)²+(4-2)²=8²

9+a²-6a+4=64

a²-6a+13=64

a²-6a=64-13

a²-6a=51

a²-6a-51=0

a= {6 + √ (36 -4 ×1× -51)}/ 2

a=( 6 + √ 169)/ 2

a= (6+13)/2 = 19/2

a = 9.5

Hope this helps you...