What is the vertices 5x^2-5y^2+20x-60y=185 ?

The vertices 5x^2-5y^2+20x-60y=185 is (-2+sqrt(5),-6),(-2-sqrt(5),-6)

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vertices 5x^2-5y^2+20x-60y=185

vertices

5 x^{2} - 5 y^{2} + 20 x - 60 y = 185

(- 2 + 5, - 6), (- 2 - 5, - 6)

Solution steps

(h + a, k), (h - a, k)

Calculate Hyperbola properties

5 x^{2} - 5 y^{2} + 20 x - 60 y = 185 :

Right-left Hyperbola with

(h, k) = (- 2, - 6), a = 5, b = 5

(- 2 + 5, - 6), (- 2 - 5, - 6)

9 x^{2} - 4 y^{2} + 54 x - 8 y + 78 = 0

x^{2} - y^{2} < 1

x^{2} - y^{2} = 9

4 y^{2} - x^{2} + 40 y - 4 x + 60 = 0

\frac{( x - 3 ) ^{2}}{25} - (\frac{y + 1}{25})^{2} = 1

What is the vertices 5x^2-5y^2+20x-60y=185 ?
The vertices 5x^2-5y^2+20x-60y=185 is (-2+sqrt(5),-6),(-2-sqrt(5),-6)