What is 9x^2-25y^2-90x+50y-25=0 ?

The solution to 9x^2-25y^2-90x+50y-25=0 is Hyperbola with (h,k)=(5,1),a=5,b=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9x^2-25y^2-90x+50y-25=0

9 x^{2} - 25 y^{2} - 90 x + 50 y - 25 = 0

(h, k) = (5, 1), a = 5, b = 3

Solution steps

9 x^{2} - 25 y^{2} - 90 x + 50 y - 25 = 0

Rewrite

9 x^{2} - 25 y^{2} - 90 x + 50 y - 25 = 0

in the form of a standard hyperbola equation

\frac{( x - 5 ) ^{2}}{5 ^{2}} - \frac{( y - 1 ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (5, 1), a = 5, b = 3

\frac{( y + 5 ) ^{2}}{81} - \frac{( x + 8 ) ^{2}}{9} = 1

x^{2} - y^{2} - 1 = 3 x - 3 y

3 x^{2} - 3 y^{2} + 2 x + 14 y + 24 = 0

y^{2} = 4 x^{2} - 15

- 25 x^{2} + 9 y^{2} + 200 x - 72 y - 481 = 0

What is 9x^2-25y^2-90x+50y-25=0 ?
The solution to 9x^2-25y^2-90x+50y-25=0 is Hyperbola with (h,k)=(5,1),a=5,b=3