What is 2x^2+9y^2-12x-18y+9=0 ?

The solution to 2x^2+9y^2-12x-18y+9=0 is Ellipse with (h,k)=(3,1),a=3,b=sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2x^2+9y^2-12x-18y+9=0

2 x^{2} + 9 y^{2} - 12 x - 18 y + 9 = 0

(h, k) = (3, 1), a = 3, b = 2

Solution steps

2 x^{2} + 9 y^{2} - 12 x - 18 y + 9 = 0

Rewrite

2 x^{2} + 9 y^{2} - 12 x - 18 y + 9 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (3, 1), a = 3, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (3, 1), a = 3, b = 2

\frac{x ^{2}}{100} + \frac{y ^{2}}{144} = 1

3 x^{2} + 2 y^{2} - 17 x = 0

x^{2} + 4 y^{2} + 10 x + 24 y + 25 = 0

(x - 3)^{2} + 4 (y + 1)^{2} = 1

\frac{x ^{2}}{8} + \frac{y ^{2}}{a} = 1

What is 2x^2+9y^2-12x-18y+9=0 ?
The solution to 2x^2+9y^2-12x-18y+9=0 is Ellipse with (h,k)=(3,1),a=3,b=sqrt(2)