SOLUTION: What is the equation of hyperbola whose foci are (-2,-1) and (-2,9) and whose transverse axis has length 8 is?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: What is the equation of hyperbola whose foci are (-2,-1) and (-2,9) and whose transverse axis has length 8 is?      Log On


   

Question 1068076: What is the equation of hyperbola whose foci are (-2,-1) and (-2,9) and whose transverse axis has length 8 is?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!



-
Some, not all, of the steps in simplification toward the equation:

sqrt%28%28x%2B2%29%5E2%2B%28y%2B1%29%5E2%29=8%2Bsqrt%28%28x%2B2%29%5E2%2B%28y-9%29%5E2%29

Subtract the %28x%2B2%29%5E2 from both sides...
%28y%2B1%29%5E2=64%2B16%2Asqrt%28%28x%2B2%29%5E2%2B%28y-9%29%5E2%29%2B%28y-9%29%5E2
%28y%2B1%29%5E2-%28y-9%29%5E2-64=16%2Asqrt%28%28x%2B2%29%5E2%2B%28y-9%29%5E2%29
.
.