What is the vertices (5x^2+8y^2-1)/(11x^2-13y^2)=0 ?

The vertices (5x^2+8y^2-1)/(11x^2-13y^2)=0 is (sqrt(1/5),0),(-sqrt(1/5),0)

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vertices (5x^2+8y^2-1)/(11x^2-13y^2)=0

vertices

\frac{5 x ^{2} + 8 y ^{2} - 1}{11 x ^{2} - 13 y ^{2}} = 0

(\frac{1}{5}, 0), (- \frac{1}{5}, 0)

Solution steps

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

Calculate ellipse properties

\frac{5 x ^{2} + 8 y ^{2} - 1}{11 x ^{2} - 13 y ^{2}} = 0 :

Ellipse with center

(h, k) = (0, 0), a = \frac{1}{5}, b = \frac{1}{2 2}

(0 + \frac{1}{5}, 0), (0 - \frac{1}{5}, 0)

Refine

(\frac{1}{5}, 0), (- \frac{1}{5}, 0)

\frac{y ^{2}}{16} + \frac{x ^{2}}{49} = 1

x^{2} + \frac{( y - 6 ) ^{2}}{16} = 1

4 x^{2} + 81 y^{2} = 324

\frac{( x - 3 ) ^{2}}{16} + \frac{( y - 2 ) ^{2}}{20} = 1

\frac{x ^{2}}{64} + \frac{y ^{2}}{9} = 1

What is the vertices (5x^2+8y^2-1)/(11x^2-13y^2)=0 ?
The vertices (5x^2+8y^2-1)/(11x^2-13y^2)=0 is (sqrt(1/5),0),(-sqrt(1/5),0)