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Beliebt Geometry >

4x^2+9y^2-24x-36y+36=0

Lösung

4 x^{2} + 9 y^{2} - 24 x - 36 y + 36 = 0

Lösung

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

Schritte zur Lösung

4 x^{2} + 9 y^{2} - 24 x - 36 y + 36 = 0

Rewrite

4 x^{2} + 9 y^{2} - 24 x - 36 y + 36 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

x^{2} + 9 y^{2} = 3

((x-3)^2)/4+((y-6)^2)/(3/2)=1

\frac{( x - 3 ) ^{2}}{4} + \frac{( y - 6 ) ^{2}}{\frac{3}{2}} = 1

x^{2} + 9 y^{2} = 5

9x^2+16y^2+18x-135=0

9 x^{2} + 16 y^{2} + 18 x - 135 = 0

16 x^{2} + 4 y^{2} = 25