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Beliebt Geometry >

9x^2+18x+25y^2-100y=116

Lösung

9 x^{2} + 18 x + 25 y^{2} - 100 y = 116

Lösung

(h, k) = (- 1, 2), a = 5, b = 3

Schritte zur Lösung

9 x^{2} + 18 x + 25 y^{2} - 100 y = 116

Rewrite

9 x^{2} + 18 x + 25 y^{2} - 100 y = 116

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 1, 2), a = 5, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 1, 2), a = 5, b = 3

Graph

Beliebte Beispiele

((x^2-y^2-1))/2 =x^2+y^2-1

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(x^{2} + y^{2} - 16 x + 8 y + 80) = 4 x^{2} + 4 y^{2} - 16 x - 32 y + 80

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