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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

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

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

x^2-2x+(y^2)/4-y=14

x^{2} - 2 x + \frac{y ^{2}}{4} - y = 14

2x^2+y^2+12x-2y+17=0

2 x^{2} + y^{2} + 12 x - 2 y + 17 = 0

4 x^{2} + 36 y^{2} = 144

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

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