de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

25x^2+4y^2-250x-16y=-541

Lösung

25 x^{2} + 4 y^{2} - 250 x - 16 y = - 541

Lösung

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

Schritte zur Lösung

25 x^{2} + 4 y^{2} - 250 x - 16 y = - 541

Rewrite

25 x^{2} + 4 y^{2} - 250 x - 16 y = - 541

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

4x^2+12y^2-4x-24y+1=0

4 x^{2} + 12 y^{2} - 4 x - 24 y + 1 = 0

(x^2)/4+x+9y^2+18y+31/4 =0

\frac{x ^{2}}{4} + x + 9 y^{2} + 18 y + \frac{31}{4} = 0

15 x^{2} + 9 y^{2} = 225

4 x^{2} + y^{2} > 1

y+x-3=3y^2+2x^2

y + x - 3 = 3 y^{2} + 2 x^{2}