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

The center x^2-4y^2-20x-64y-172=0 is (10,-8)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

center

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

(10, - 8)

Solution steps

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

Rewrite

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

And the center is:

(10, - 8)

- 9 x^{2} - 32 y = - 16 y^{2} + 128

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

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

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

9 y^{2} - x^{2} + 2 x + 54 y + 62 = 0

What is the center x^2-4y^2-20x-64y-172=0 ?
The center x^2-4y^2-20x-64y-172=0 is (10,-8)