de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

x^2+9y^2+6y-3=0

Lösung

x^{2} + 9 y^{2} + 6 y - 3 = 0

Lösung

(h, k) = (0, - \frac{1}{3}), a = 2, b = \frac{2}{3}

Schritte zur Lösung

x^{2} + 9 y^{2} + 6 y - 3 = 0

Rewrite

x^{2} + 9 y^{2} + 6 y - 3 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, - \frac{1}{3}), a = 2, b = \frac{2}{3}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, - \frac{1}{3}), a = 2, b = \frac{2}{3}

Graph

Beliebte Beispiele

3 x^{2} + y^{2} = 4

((x-1)^2}{16}+\frac{(y-0)^2)/9 =1

\frac{( x - 1 ) ^{2}}{16} + \frac{( y - 0 ) ^{2}}{9} = 1

15x^2+16y^2=240

15 x^{2} + 16 y^{2} = 240

4 y^{2} + 9 x^{2} = 36

2x^2+3y^2+12x=10

2 x^{2} + 3 y^{2} + 12 x = 10