What is 36-4x^2-9y^2=0 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

36-4x^2-9y^2=0

36 - 4 x^{2} - 9 y^{2} = 0

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

Solution steps

36 - 4 x^{2} - 9 y^{2} = 0

Rewrite

36 - 4 x^{2} - 9 y^{2} = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

\frac{12 ( x - 1 ) ^{2}}{24} + \frac{3 y ^{2}}{24} = \frac{24}{24}

10 x^{2} - 70 = - 7 y^{2}

2 x^{2} + 3 (y - 2)^{2} = 20

2 x^{2} + 8 x + y^{2} - 3 y = 0

\frac{x ^{2}}{179} + \frac{y ^{2}}{120} = 1

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