What is 9x^2-18x+4y^2=27 ?

The solution to 9x^2-18x+4y^2=27 is Ellipse with (h,k)=(1,0),a=2,b=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

9x^2-18x+4y^2=27

9 x^{2} - 18 x + 4 y^{2} = 27

(h, k) = (1, 0), a = 2, b = 3

Solution steps

9 x^{2} - 18 x + 4 y^{2} = 27

Rewrite

9 x^{2} - 18 x + 4 y^{2} = 27

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, 0), a = 2, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, 0), b = 3, a = 2

What is 9x^2-18x+4y^2=27 ?
The solution to 9x^2-18x+4y^2=27 is Ellipse with (h,k)=(1,0),a=2,b=3