SOLUTION: Find the value of K so that the given points are 3 square root 5 units apart. (-8,-2),(-5,k)

Algebra ->  Length-and-distance -> SOLUTION: Find the value of K so that the given points are 3 square root 5 units apart. (-8,-2),(-5,k)      Log On


   



Question 196888This question is from textbook Geometry
: Find the value of K so that the given points are 3 square root 5 units apart.
(-8,-2),(-5,k)
This question is from textbook Geometry

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(-8,-2),(-5,k)
.
distance=sqrt((x[2]-x[1])^2+(y[2]-y[1])^2)
sqrt((-5+8)^2+(k+2)^2))=3sqrt(5)
sqrt(9+k^2+4k+4)=3sqrt(5)
k^2+4k+13=9*5 Square each side.
k^2+4k-32=0
(k+8)(k-4)=0
k=-8, k=4
.
Ed