What is 8x^2+9y^2=72 ?

The solution to 8x^2+9y^2=72 is Ellipse with (h,k)=(0,0),a=3,b=2sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

8x^2+9y^2=72

8 x^{2} + 9 y^{2} = 72

(h, k) = (0, 0), a = 3, b = 22

Solution steps

8 x^{2} + 9 y^{2} = 72

Rewrite

8 x^{2} + 9 y^{2} = 72

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 22

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 3, b = 22

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

60 x^{2} + 108 y^{2} = 6480

22 x^{2} + 66 y^{2} + 60 x + 4 y + 9 = 0

2 x^{2} + 2 y^{2} + 36 y = 0

64 x^{2} + 81 y^{2} - 1152 x - 486 y + 729 = 0

What is 8x^2+9y^2=72 ?
The solution to 8x^2+9y^2=72 is Ellipse with (h,k)=(0,0),a=3,b=2sqrt(2)