What is the vertices 4y^2-25x^2=100 ?

The vertices 4y^2-25x^2=100 is (0,5),(0,-5)

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vertices 4y^2-25x^2=100

vertices

4 y^{2} - 25 x^{2} = 100

(0, 5), (0, - 5)

Solution steps

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

Calculate Hyperbola properties

4 y^{2} - 25 x^{2} = 100 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 5, b = 2

(0, 0 + 5), (0, 0 - 5)

Refine

(0, 5), (0, - 5)

\frac{( x - 3 ) ^{2}}{49} - \frac{( y - 5 ) ^{2}}{15} = 1

\frac{( x - 6 ) ^{2}}{8} - \frac{( y - 5 ) ^{2}}{1} = 1

\frac{( x - 2 ) ^{2}}{4} - \frac{( y - 2 ) ^{2}}{5} = 1

\frac{x ^{2} - y ^{2}}{24} = 1

x^{2} + 6 x = 9 y^{2}

What is the vertices 4y^2-25x^2=100 ?
The vertices 4y^2-25x^2=100 is (0,5),(0,-5)