en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

a^2-b^2=5

Solution

a^{2} - b^{2} = 5

Solution

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

Solution steps

a^{2} - b^{2} = 5

Rewrite

a^{2} - b^{2} = 5

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 5 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 5 ) ^{2}} = 1

Therefore Hyperbola properties are:

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

Popular Examples

((y-6)^2)/(49)-((x+2)^2)/(64)=1

\frac{( y - 6 ) ^{2}}{49} - \frac{( x + 2 ) ^{2}}{64} = 1

9y^2-4x^2-18y+24x-63=0

9 y^{2} - 4 x^{2} - 18 y + 24 x - 63 = 0

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

x^2+4x+4-9y^2=5

x^{2} + 4 x + 4 - 9 y^{2} = 5

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

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

Frequently Asked Questions (FAQ)

What is a^2-b^2=5 ?
The solution to a^2-b^2=5 is Hyperbola with (h,k)=(0,0),a=sqrt(5),b=sqrt(5)