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Beliebt Geometry >

-8y^2-10y+72=9x^2

Lösung

- 8 y^{2} - 10 y + 72 = 9 x^{2}

Lösung

(h, k) = (0, - \frac{5}{8}), a = \frac{601}{6 2}, b = \frac{601}{8}

Schritte zur Lösung

- 8 y^{2} - 10 y + 72 = 9 x^{2}

Rewrite

- 8 y^{2} - 10 y + 72 = 9 x^{2}

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{601}{6 2} ) ^{2}} + \frac{( y - ( - \frac{5}{8} ) ) ^{2}}{( \frac{601}{8} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, - \frac{5}{8}), a = \frac{601}{6 2}, b = \frac{601}{8}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, - \frac{5}{8}), b = \frac{601}{8}, a = \frac{601}{6 2}

Graph

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