What is (x^2}{25}-\frac{y^2)/4 =1 ?

The solution to (x^2}{25}-\frac{y^2)/4 =1 is Hyperbola with (h,k)=(0,0),a=5,b=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x^2}{25}-\frac{y^2)/4 =1

\frac{x ^{2}}{25} - \frac{y ^{2}}{4} = 1

(h, k) = (0, 0), a = 5, b = 2

Solution steps

\frac{x ^{2}}{25} - \frac{y ^{2}}{4} = 1

Rewrite

\frac{x ^{2}}{25} - \frac{y ^{2}}{4} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 2

9 x^{2} + 16 y^{2} = 144

y^{2} = - 25 x

\frac{x ^{2}}{4} - \frac{y ^{2}}{9} = 1

\frac{x ^{2}}{25} + \frac{y ^{2}}{4} = 1

x^{2} + y^{2} + 8 x + 4 y - 3 = 40

What is (x^2}{25}-\frac{y^2)/4 =1 ?
The solution to (x^2}{25}-\frac{y^2)/4 =1 is Hyperbola with (h,k)=(0,0),a=5,b=2