What is x^2+79=y^2+18x-2y ?

The solution to x^2+79=y^2+18x-2y is Hyperbola with (h,k)=(9,1),a=1,b=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2+79=y^2+18x-2y

x^{2} + 79 = y^{2} + 18 x - 2 y

(h, k) = (9, 1), a = 1, b = 1

Solution steps

x^{2} + 79 = y^{2} + 18 x - 2 y

Rewrite

x^{2} + 79 = y^{2} + 18 x - 2 y

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (9, 1), a = 1, b = 1

4 x^{2} - 4 y^{2} + 20 x - 16 y + 25 = 0

\frac{( x ^{(2)} )}{( 25 )} - \frac{( y ^{(2)} )}{( 11 )} = 1

a^{2} - b^{2} - 4 a + 2 b = 19

y^{2} + 1 = x^{2} + 8 x

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

What is x^2+79=y^2+18x-2y ?
The solution to x^2+79=y^2+18x-2y is Hyperbola with (h,k)=(9,1),a=1,b=1