de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (2, - \frac{1}{6}), a = \frac{5}{6}, b = \frac{5}{6}

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{( \frac{5}{6} ) ^{2}} + \frac{( y - ( - \frac{1}{6} ) ) ^{2}}{( \frac{5}{6} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, - \frac{1}{6}), a = \frac{5}{6}, b = \frac{5}{6}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, - \frac{1}{6}), a = \frac{5}{6}, b = \frac{5}{6}

Graph

Beliebte Beispiele

9(x-1)^2+(4y)^2=36

9 (x - 1)^{2} + (4 y)^{2} = 36

(17x^2+9y^2-30y+9)/(16)=0

\frac{17 x ^{2} + 9 y ^{2} - 30 y + 9}{16} = 0

9= 1/(x^2+y^2-7)

9 = \frac{1}{x ^{2} + y ^{2} - 7}

x^2+8y^2-12x-16y-36=0

x^{2} + 8 y^{2} - 12 x - 16 y - 36 = 0

16x^2+36y^2-256x+576y+2752=0

16 x^{2} + 36 y^{2} - 256 x + 576 y + 2752 = 0