de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

x^2+5y^2=20

Lösung

x^{2} + 5 y^{2} = 20

Lösung

(h, k) = (0, 0), a = 25, b = 2

Schritte zur Lösung

x^{2} + 5 y^{2} = 20

Rewrite

x^{2} + 5 y^{2} = 20

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 2 5 ) ^{2}} + \frac{( y - 0 ) ^{2}}{2 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 25, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 25, b = 2

Graph

Beliebte Beispiele

(1+b+ia)/(1+b-ia)=b+ia

\frac{1 + b + ia}{1 + b - ia} = b + ia

((x-0)^2)/4+((y-0)^2)/(16)=1

\frac{( x - 0 ) ^{2}}{4} + \frac{( y - 0 ) ^{2}}{16} = 1

((x+2)^2}{25}+\frac{(y-1)^2)/9 =1

\frac{( x + 2 ) ^{2}}{25} + \frac{( y - 1 ) ^{2}}{9} = 1

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

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

((x-2)/(4^2))^2+((y-4)/(5^2))^2=1

(\frac{x - 2}{4 ^{2}})^{2} + (\frac{y - 4}{5 ^{2}})^{2} = 1