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Beliebt Geometry >

4x^2+9y^2+16x-18y-11=0

Lösung

4 x^{2} + 9 y^{2} + 16 x - 18 y - 11 = 0

Lösung

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

Schritte zur Lösung

4 x^{2} + 9 y^{2} + 16 x - 18 y - 11 = 0

Rewrite

4 x^{2} + 9 y^{2} + 16 x - 18 y - 11 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

- y^{2} - x^{2} = 1

1/9 x^2+1/16 y^2=1

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

4(x-2)^2+9(y-3)^2=36

4 (x - 2)^{2} + 9 (y - 3)^{2} = 36

(x^2)/(7.5^2)+(y^2)/(9^2)=1

\frac{x ^{2}}{7. 5 ^{2}} + \frac{y ^{2}}{9 ^{2}} = 1

x^2+4y^2+10x-8y+13=0

x^{2} + 4 y^{2} + 10 x - 8 y + 13 = 0