What is 9x^2-18x+4y^2+8y=23 ?

The solution to 9x^2-18x+4y^2+8y=23 is Ellipse with (h,k)=(1,-1),a=2,b=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9x^2-18x+4y^2+8y=23

9 x^{2} - 18 x + 4 y^{2} + 8 y = 23

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

Solution steps

9 x^{2} - 18 x + 4 y^{2} + 8 y = 23

Rewrite

9 x^{2} - 18 x + 4 y^{2} + 8 y = 23

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

x^{2} + 4 y^{2} - 80 y + 396 = 0

25 x^{2} + 144 y^{2} = 900

\frac{( x + 5 ) ^{2}}{16} + \frac{( y - 2 ) ^{2}}{4} = 1

4 x^{2} + 16 y^{2} - 8 x + 32 y - 44 = 0

16 - x^{2} - 4 y^{2} \geq 0

What is 9x^2-18x+4y^2+8y=23 ?
The solution to 9x^2-18x+4y^2+8y=23 is Ellipse with (h,k)=(1,-1),a=2,b=3