What is 36x^2+5y^2-90y-495=0 ?

The solution to 36x^2+5y^2-90y-495=0 is Ellipse with (h,k)=(0,9),a=5,b=6sqrt(5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

36x^2+5y^2-90y-495=0

36 x^{2} + 5 y^{2} - 90 y - 495 = 0

(h, k) = (0, 9), a = 5, b = 65

Solution steps

36 x^{2} + 5 y^{2} - 90 y - 495 = 0

Rewrite

36 x^{2} + 5 y^{2} - 90 y - 495 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{5 ^{2}} + \frac{( y - 9 ) ^{2}}{( 6 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 9), a = 5, b = 65

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 9), b = 65, a = 5

\frac{x ^{2}}{9} + \frac{y ^{2}}{5} = 1

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

f (x) = x^{2} + 4 x - 12

x^{2} - 10 x + y^{2} + 6 y - 1 = 0

x = - 8 y^{2}

What is 36x^2+5y^2-90y-495=0 ?
The solution to 36x^2+5y^2-90y-495=0 is Ellipse with (h,k)=(0,9),a=5,b=6sqrt(5)