The foci of the hyperbola with equation 5y^2-4x^2=20 will be given as follows: divide each term by 20 (5y^2)/20-(4x^2)/20=20/20 simplifying gives us: y^2/4-x^2/5=1 This follows the standard form of the hyperbola (y-k)²/a²-(x-h)²/b²=1 thus a=2, b=√5 , k=0, h=0 Next we find c, the distance from the center to a focus. √(a²+b²) =√(2²+(√5)²) =√(4+5) =√9 =3 the focus of the hyperbola is found using formula: (h.h+k) substituting our values we get: (0,3) The second focus of the hyperbola can be found by subtracting c from k (h,k-c) substituting our values we obtain: (0,-3)
