SOLUTION: Two similarly-charged particles are propelled towards each other as shown. Instead of colliding, they repel each other and take hyperbola paths. If the equation of the hyperbola is

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Two similarly-charged particles are propelled towards each other as shown. Instead of colliding, they repel each other and take hyperbola paths. If the equation of the hyperbola is      Log On


   

Question 1184343: Two similarly-charged particles are propelled towards each other as shown. Instead of colliding, they repel each other and take hyperbola paths. If the equation of the hyperbola is x²-y²=16, how many units away are they from each other when they are at their closest?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Csqrt%28x%5E2-16%29%2C-sqrt%28x%5E2-16%29%29
(x^2/16)-(y^2/16)=1
a=4
b=4
h and k=0

They are 8 units away when closest.