de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

2x^2+3y^2+4x-6y-1=0

Lösung

2 x^{2} + 3 y^{2} + 4 x - 6 y - 1 = 0

Lösung

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

Schritte zur Lösung

2 x^{2} + 3 y^{2} + 4 x - 6 y - 1 = 0

Rewrite

2 x^{2} + 3 y^{2} + 4 x - 6 y - 1 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

y^{2} = 100 - 25 x^{2}

4(x+1)^2+3(y-1)^2=48

4 (x + 1)^{2} + 3 (y - 1)^{2} = 48

81x^2+49y^2+1296x+196y+1411=0

81 x^{2} + 49 y^{2} + 1296 x + 196 y + 1411 = 0

(y^2)/4+(x^2)/9 =10

\frac{y ^{2}}{4} + \frac{x ^{2}}{9} = 10

9x^2+16y^2+42x-24y+57=0

9 x^{2} + 16 y^{2} + 42 x - 24 y + 57 = 0