What is 9y^2+16x^2-90y-96x+225=0 ?

The solution to 9y^2+16x^2-90y-96x+225=0 is Ellipse with (h,k)=(3,5),a=3,b=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

9y^2+16x^2-90y-96x+225=0

9 y^{2} + 16 x^{2} - 90 y - 96 x + 225 = 0

(h, k) = (3, 5), a = 3, b = 4

Solution steps

9 y^{2} + 16 x^{2} - 90 y - 96 x + 225 = 0

Rewrite

9 y^{2} + 16 x^{2} - 90 y - 96 x + 225 = 0

in the form of the standard ellipse equation

\frac{( x - 3 ) ^{2}}{3 ^{2}} + \frac{( y - 5 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (3, 5), a = 3, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (3, 5), b = 4, a = 3

What is 9y^2+16x^2-90y-96x+225=0 ?
The solution to 9y^2+16x^2-90y-96x+225=0 is Ellipse with (h,k)=(3,5),a=3,b=4