What is 9x^2+8y^2-54x-16y+17=0 ?

The solution to 9x^2+8y^2-54x-16y+17=0 is Ellipse with (h,k)=(3,1),a=2sqrt(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+8y^2-54x-16y+17=0

9 x^{2} + 8 y^{2} - 54 x - 16 y + 17 = 0

(h, k) = (3, 1), a = 22, b = 3

Solution steps

9 x^{2} + 8 y^{2} - 54 x - 16 y + 17 = 0

Rewrite

9 x^{2} + 8 y^{2} - 54 x - 16 y + 17 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (3, 1), a = 22, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (3, 1), b = 3, a = 22

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

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

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

- \frac{x ^{2}}{25} - \frac{y ^{2}}{16} = 1

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

What is 9x^2+8y^2-54x-16y+17=0 ?
The solution to 9x^2+8y^2-54x-16y+17=0 is Ellipse with (h,k)=(3,1),a=2sqrt(2),b=3