Question

What values of x is the distance between the point a(- 3,2) and b(x,10) is 10 units?

Answer 1

Answer:

x=-3 or 9

Step-by-step explanation:

√(x-3)^2 +(10-2)^2=10

√(x-3)^2 +64 =10

squaring both the side

(x-3)^2+64=100

x^2 +9-6x=36

x^2-6x-27=0

x^2-9x+3x-27=0

x(x-9)+3(x-9)=0

(x+3)(x-9)=0

x=-3 or x=9