What is 9x^2+y^2+144x=-567 ?

The solution to 9x^2+y^2+144x=-567 is Ellipse with (h,k)=(-8,0),a=1,b=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9x^2+y^2+144x=-567

9 x^{2} + y^{2} + 144 x = - 567

(h, k) = (- 8, 0), a = 1, b = 3

Solution steps

9 x^{2} + y^{2} + 144 x = - 567

Rewrite

9 x^{2} + y^{2} + 144 x = - 567

in the form of the standard ellipse equation

\frac{( x - ( - 8 ) ) ^{2}}{1 ^{2}} + \frac{( y - 0 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 8, 0), a = 1, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 8, 0), b = 3, a = 1

x^{2} + 4 y^{2} + 2 x - 12 y + 6 = 0

\frac{( x - 6 ) ^{2}}{9} + \frac{( y + 7 ) ^{2}}{25} = 1

\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{25} = 1

\frac{( x ^{2} )}{4} + y^{2} \frac{1}{9} = 1

9 x^{2} + 4 y^{2} + 36 x + 24 y + 36 = 0

What is 9x^2+y^2+144x=-567 ?
The solution to 9x^2+y^2+144x=-567 is Ellipse with (h,k)=(-8,0),a=1,b=3