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Beliebt Geometry >

4x^2+9y^2-54y+45=0

Lösung

4 x^{2} + 9 y^{2} - 54 y + 45 = 0

Lösung

(h, k) = (0, 3), a = 3, b = 2

Schritte zur Lösung

4 x^{2} + 9 y^{2} - 54 y + 45 = 0

Rewrite

4 x^{2} + 9 y^{2} - 54 y + 45 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} + \frac{( y - 3 ) ^{2}}{2 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 3), a = 3, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 3), a = 3, b = 2

Graph

Beliebte Beispiele

3x^2+4y^2+18x+8y+19=0

3 x^{2} + 4 y^{2} + 18 x + 8 y + 19 = 0

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

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

(-x^2)/(2^2)-(y^2)/(4^2)=1

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36 (x + 2)^{2} + (y - 4)^{2} = 72

((x-2)^2)/4+(y^2)/(33)=1

\frac{( x - 2 ) ^{2}}{4} + \frac{y ^{2}}{33} = 1