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Beliebt Geometry >

9y^2+16x^2-90y-96x+225=0

Lösung

9 y^{2} + 16 x^{2} - 90 y - 96 x + 225 = 0

Lösung

(h, k) = (3, 5), a = 3, b = 4

Schritte zur Lösung

9 y^{2} + 16 x^{2} - 90 y - 96 x + 225 = 0

Rewrite

9 y^{2} + 16 x^{2} - 90 y - 96 x + 225 = 0

in the form of the standard ellipse equation

\frac{( x - 3 ) ^{2}}{3 ^{2}} + \frac{( y - 5 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (3, 5), a = 3, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (3, 5), b = 4, a = 3

Graph

Beliebte Beispiele

3 x^{2} + 2 y^{2} - 12 = 0

(y^2)/(16)+(x^2)/(25)=1

\frac{y ^{2}}{16} + \frac{x ^{2}}{25} = 1

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

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

(x^2)/(36)+(y^2)/(121)=1

\frac{x ^{2}}{36} + \frac{y ^{2}}{121} = 1

(x+8)^2+((y+1)/2)^2=3

(x + 8)^{2} + (\frac{y + 1}{2})^{2} = 3