de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

16x^2+36y^2-96x+36y+9=0

Lösung

16 x^{2} + 36 y^{2} - 96 x + 36 y + 9 = 0

Lösung

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

Schritte zur Lösung

16 x^{2} + 36 y^{2} - 96 x + 36 y + 9 = 0

Rewrite

16 x^{2} + 36 y^{2} - 96 x + 36 y + 9 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

Graph

Beliebte Beispiele

(x^2)/(144)+(y^2)/(16)=1

\frac{x ^{2}}{144} + \frac{y ^{2}}{16} = 1

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

(2 x - 2)^{2} + (3 y - 6)^{2} = 36

3/2 u^2+1/2 v^2=4

\frac{3}{2} u^{2} + \frac{1}{2} v^{2} = 4

4x^2+16x+5y^2-10y+1=0

4 x^{2} + 16 x + 5 y^{2} - 10 y + 1 = 0

x^{2} + 4 y^{2} = 20