What is the center (x-5)^2-(y-4)^2=1 ?

The center (x-5)^2-(y-4)^2=1 is (5,4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

center (x-5)^2-(y-4)^2=1

center

(x - 5)^{2} - (y - 4)^{2} = 1

(5, 4)

Solution steps

(x - 5)^{2} - (y - 4)^{2} = 1

Rewrite

(x - 5)^{2} - (y - 4)^{2} = 1

in the form of a standard hyperbola equation

\frac{( x - 5 ) ^{2}}{1 ^{2}} - \frac{( y - 4 ) ^{2}}{1 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (5, 4), a = 1, b = 1

And the center is:

(5, 4)

x^{2} - 9 y^{2} = 144

\frac{( x + 10 ) ^{2}}{36} - \frac{( y - 3 ) ^{2}}{100} = 1

\frac{( y + 5 ) ^{2}}{16} - \frac{( x + 3 ) ^{2}}{9} = 1

\frac{y ^{2}}{16} - \frac{x ^{2}}{25} = 1

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