What is x^2-20x-4y^2-64y-172=0 ?

The solution to x^2-20x-4y^2-64y-172=0 is Hyperbola with (h,k)=(10,-8),a=4,b=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2-20x-4y^2-64y-172=0

x^{2} - 20 x - 4 y^{2} - 64 y - 172 = 0

(h, k) = (10, - 8), a = 4, b = 2

Solution steps

x^{2} - 20 x - 4 y^{2} - 64 y - 172 = 0

Rewrite

x^{2} - 20 x - 4 y^{2} - 64 y - 172 = 0

in the form of a standard hyperbola equation

\frac{( x - 10 ) ^{2}}{4 ^{2}} - \frac{( y - ( - 8 ) ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (10, - 8), a = 4, b = 2

5 x^{2} - 4 y^{2} = 20

x^{2} + (y - 5) = (y + 5)^{2}

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

2 x^{2} - 4 y^{2} = 8

3 y^{2} - 2 x^{2} - x + 5 y - 15 = 0

What is x^2-20x-4y^2-64y-172=0 ?
The solution to x^2-20x-4y^2-64y-172=0 is Hyperbola with (h,k)=(10,-8),a=4,b=2