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Beliebt Geometry >

4x^2+9y^2-16x+36y+16=0

Lösung

4 x^{2} + 9 y^{2} - 16 x + 36 y + 16 = 0

Lösung

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

Schritte zur Lösung

4 x^{2} + 9 y^{2} - 16 x + 36 y + 16 = 0

Rewrite

4 x^{2} + 9 y^{2} - 16 x + 36 y + 16 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

5 x^{2} + 2 y^{2} = 10

3x^2+6y^2-4x+6y-3>= 0

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((x-3)^2)/9+((y-2)^2)/4 =1

\frac{( x - 3 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{4} = 1

(x^2)/(7^2)+(y^2)/(5^2)=1

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