de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

4x^2+16y^2+16x+160y+352=0

Lösung

4 x^{2} + 16 y^{2} + 16 x + 160 y + 352 = 0

Lösung

(h, k) = (- 2, - 5), a = 4, b = 2

Schritte zur Lösung

4 x^{2} + 16 y^{2} + 16 x + 160 y + 352 = 0

Rewrite

4 x^{2} + 16 y^{2} + 16 x + 160 y + 352 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 2, - 5), a = 4, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 2, - 5), a = 4, b = 2

Graph

Beliebte Beispiele

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

9x^2+25y^2-36x+50y-200=0

9 x^{2} + 25 y^{2} - 36 x + 50 y - 200 = 0

((X+2)^2)/4+((y-3)^2)/9 =1

\frac{( X + 2 ) ^{2}}{4} + \frac{( y - 3 ) ^{2}}{9} = 1

7x^2+16y^2-112=0

7 x^{2} + 16 y^{2} - 112 = 0

(x-h)^2+(y-k)^2=1

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