Question

How do I find the foci of this equation?

x^2 − 5y^2 = 6

Answer 1

divide your equation all through by 6
\[x ^{2} /6 -5/6y ^{2} = 1\]
\[6^{2} - \left( 5/6 \right)^{2} = 35.3\]
\[\sqrt{35.3} =5.9\]
foci: (0,5.9) (0,-5.9)

Answer 2

thax :)

Answer 3

shouldn't the foci be (5.9, 0)?