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| Question 739363:  What type of graph is:
 6x^2-24x-5y^2-10y-11=0
 Answer by richwmiller(17219)
      (Show Source): 
You can put this solution on YOUR website! hyperbola hyperbola
 foci | ((2-sqrt(11), -1)  |  (2+sqrt(11), -1))~~((-1.31662, -1)  |  (5.31662, -1))
 vertices | ((2-sqrt(5), -1)  |  (2+sqrt(5), -1))~~((-0.236068, -1)  |  (4.23607, -1))
 center | (2, -1)
 semimajor axis length | sqrt(5)~~2.23607
 semiminor axis length | sqrt(6)~~2.44949
 focal parameter | 6/sqrt(11)~~1.80907
 eccentricity | sqrt(11/5)~~1.48324
 asymptotes | y = sqrt(6/5) x-2 sqrt(6/5)-1  |  y = -sqrt(6/5) x+2 sqrt(6/5)-1
 it can also be written
 6(x-2)^2-5(y+1)^2-30 = 0
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