What is 9x^2+4(y-2)^2=36 ?

The solution to 9x^2+4(y-2)^2=36 is Ellipse with (h,k)=(0,2),a=2,b=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9x^2+4(y-2)^2=36

9 x^{2} + 4 (y - 2)^{2} = 36

(h, k) = (0, 2), a = 2, b = 3

Solution steps

9 x^{2} + 4 (y - 2)^{2} = 36

Rewrite

9 x^{2} + 4 (y - 2)^{2} = 36

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{2 ^{2}} + \frac{( y - 2 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 2), a = 2, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 2), b = 3, a = 2

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

1 x^{2} + 4 y^{2} + 10 x + 8 y - 19 = 0

36 x^{2} + 9 y^{2} + 288 x - 90 y + 477 = 0

(\frac{x ^{2}}{72}) + (\frac{y ^{2}}{21}) = 1

(3 - y^{2} - 3 x^{2}) = 0

What is 9x^2+4(y-2)^2=36 ?
The solution to 9x^2+4(y-2)^2=36 is Ellipse with (h,k)=(0,2),a=2,b=3