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Beliebt Geometry >

25x^2+16y^2+100x-96y-154=0

Lösung

25 x^{2} + 16 y^{2} + 100 x - 96 y - 154 = 0

Lösung

(h, k) = (- 2, 3), a = \frac{398}{5}, b = \frac{199}{2 2}

Schritte zur Lösung

25 x^{2} + 16 y^{2} + 100 x - 96 y - 154 = 0

Rewrite

25 x^{2} + 16 y^{2} + 100 x - 96 y - 154 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 2 ) ) ^{2}}{( \frac{398}{5} ) ^{2}} + \frac{( y - 3 ) ^{2}}{( \frac{199}{2 2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 2, 3), a = \frac{398}{5}, b = \frac{199}{2 2}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 2, 3), b = \frac{199}{2 2}, a = \frac{398}{5}

Graph

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