What is -x^2+9y^2+90y+189=0 ?

The solution to -x^2+9y^2+90y+189=0 is Hyperbola with (h,k)=(0,-5),a=2,b=6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-x^2+9y^2+90y+189=0

- x^{2} + 9 y^{2} + 90 y + 189 = 0

(h, k) = (0, - 5), a = 2, b = 6

Solution steps

- x^{2} + 9 y^{2} + 90 y + 189 = 0

Rewrite

- x^{2} + 9 y^{2} + 90 y + 189 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - 5 ) ) ^{2}}{2 ^{2}} - \frac{( x - 0 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, - 5), a = 2, b = 6

\frac{( x ^{2} )}{625} - \frac{( y ^{2} )}{3600} = 1

\frac{x ^{2}}{16} - (y - 7)^{2} = 1

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

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

- 16 x^{2} + 9 y^{2} - 64 x + 18 y = 199

What is -x^2+9y^2+90y+189=0 ?
The solution to -x^2+9y^2+90y+189=0 is Hyperbola with (h,k)=(0,-5),a=2,b=6