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Beliebt Geometry >

4x^2+y^2-6y=27

Lösung

4 x^{2} + y^{2} - 6 y = 27

Lösung

(h, k) = (0, 3), a = 3, b = 6

Schritte zur Lösung

4 x^{2} + y^{2} - 6 y = 27

Rewrite

4 x^{2} + y^{2} - 6 y = 27

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} + \frac{( y - 3 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 3), a = 3, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 3), b = 6, a = 3

Graph

Beliebte Beispiele

4x^2+36y^2+24x+432y=-1188

4 x^{2} + 36 y^{2} + 24 x + 432 y = - 1188

16x^2-64x+25y^2+150y+189=0

16 x^{2} - 64 x + 25 y^{2} + 150 y + 189 = 0

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

2x^2+4y^2+10x+9y-5=0

2 x^{2} + 4 y^{2} + 10 x + 9 y - 5 = 0

((y-6)^2)/(36)+((x+3)^2)/(16)=1

\frac{( y - 6 ) ^{2}}{36} + \frac{( x + 3 ) ^{2}}{16} = 1