What is the center 4x^2-45y^2=180 ?

The center 4x^2-45y^2=180 is (0,0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

center 4x^2-45y^2=180

center

4 x^{2} - 45 y^{2} = 180

(0, 0)

Solution steps

4 x^{2} - 45 y^{2} = 180

Rewrite

4 x^{2} - 45 y^{2} = 180

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 3 5 ) ^{2}} - \frac{( y - 0 ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 35, b = 2

And the center is:

(0, 0)

\frac{( y - 2 ) ^{2}}{9} - \frac{( x - 1 ) ^{2}}{16} = 1

\frac{x ^{2}}{36} - \frac{y ^{2}}{9} = 1

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

9 y^{2} - 4 x^{2} = 36

\frac{( x + 3 ) ^{2}}{16} - \frac{( y - 4 ) ^{2}}{9} = 1