What is 24x^2+9y^2=216 ?

The solution to 24x^2+9y^2=216 is Ellipse with (h,k)=(0,0),a=3,b=2sqrt(6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

24x^2+9y^2=216

24 x^{2} + 9 y^{2} = 216

(h, k) = (0, 0), a = 3, b = 26

Solution steps

24 x^{2} + 9 y^{2} = 216

Rewrite

24 x^{2} + 9 y^{2} = 216

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} + \frac{( y - 0 ) ^{2}}{( 2 6 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 26

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 26, a = 3

x^{2} + 4 y^{2} - 10 x + 16 y + 37 = 0

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

9 x^{2} + 5 y^{2} + 36 x - 30 y + 36 = 0

x, 4 x^{2} = 20 x - p (x)^{2} + 4

3 x^{2} + 4 y^{2} - 12 x + 16 y + 16 = 0

What is 24x^2+9y^2=216 ?
The solution to 24x^2+9y^2=216 is Ellipse with (h,k)=(0,0),a=3,b=2sqrt(6)