What is 25x^2+9y^2-100x-54y-44=0 ?

The solution to 25x^2+9y^2-100x-54y-44=0 is Ellipse with (h,k)=(2,3),a=3,b=5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

25x^2+9y^2-100x-54y-44=0

25 x^{2} + 9 y^{2} - 100 x - 54 y - 44 = 0

(h, k) = (2, 3), a = 3, b = 5

Solution steps

25 x^{2} + 9 y^{2} - 100 x - 54 y - 44 = 0

Rewrite

25 x^{2} + 9 y^{2} - 100 x - 54 y - 44 = 0

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{3 ^{2}} + \frac{( y - 3 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, 3), a = 3, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (2, 3), b = 5, a = 3

What is 25x^2+9y^2-100x-54y-44=0 ?
The solution to 25x^2+9y^2-100x-54y-44=0 is Ellipse with (h,k)=(2,3),a=3,b=5