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Beliebt Geometry >

9x^2+4y^2+36x-8y+4=0

Lösung

9 x^{2} + 4 y^{2} + 36 x - 8 y + 4 = 0

Lösung

(h, k) = (- 2, 1), a = 2, b = 3

Schritte zur Lösung

9 x^{2} + 4 y^{2} + 36 x - 8 y + 4 = 0

Rewrite

9 x^{2} + 4 y^{2} + 36 x - 8 y + 4 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 2, 1), a = 2, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 2, 1), b = 3, a = 2

Graph

Beliebte Beispiele

7 x^{2} + 2 y^{2} = 14

4x^2+25y^2-6x+200y+304=0

4 x^{2} + 25 y^{2} - 6 x + 200 y + 304 = 0

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

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

16x^2+y^2+64x+4y+52=0

16 x^{2} + y^{2} + 64 x + 4 y + 52 = 0

20x^2+25y^2=400

20 x^{2} + 25 y^{2} = 400