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Beliebt Geometry >

81(x-2)^2+36(y-3)^2=2916

Lösung

81 (x - 2)^{2} + 36 (y - 3)^{2} = 2916

Lösung

(h, k) = (2, 3), a = 6, b = 9

Schritte zur Lösung

81 (x - 2)^{2} + 36 (y - 3)^{2} = 2916

Rewrite

81 (x - 2)^{2} + 36 (y - 3)^{2} = 2916

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{6 ^{2}} + \frac{( y - 3 ) ^{2}}{9 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, 3), a = 6, b = 9

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (2, 3), b = 9, a = 6

Graph

Beliebte Beispiele

3x^2+5y^2-6x-20y+8=0

3 x^{2} + 5 y^{2} - 6 x - 20 y + 8 = 0

(x^2)/3+(y^2)/(sqrt(5))=1

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

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25x^2+4y^2-50x+8y-71=0

25 x^{2} + 4 y^{2} - 50 x + 8 y - 71 = 0

16x^2-64x+25y^2+100y=236

16 x^{2} - 64 x + 25 y^{2} + 100 y = 236