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Beliebt Geometry >

9x^2+6y^2+54x-36y+81=0

Lösung

9 x^{2} + 6 y^{2} + 54 x - 36 y + 81 = 0

Lösung

(h, k) = (- 3, 3), a = 6, b = 3

Schritte zur Lösung

9 x^{2} + 6 y^{2} + 54 x - 36 y + 81 = 0

Rewrite

9 x^{2} + 6 y^{2} + 54 x - 36 y + 81 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 3 ) ) ^{2}}{( 6 ) ^{2}} + \frac{( y - 3 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 3, 3), a = 6, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 3, 3), b = 3, a = 6

Graph

Beliebte Beispiele

36x^2+25y^2-900=0

36 x^{2} + 25 y^{2} - 900 = 0

-8x^2-2y^2-12=0

- 8 x^{2} - 2 y^{2} - 12 = 0

(x-2)^2+((y+3)^2)/(16)=1

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

81 x^{2} + 64 y^{2} = 25

16 x^{2} + 9 y^{2} = 1