en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^2=4x^2-9

Solution

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

Solution

(h, k) = (0, 0), a = \frac{3}{2}, b = 3

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{3}{2}, b = 3

Popular Examples

(y^2)/(121)-(x^2)/(196)=1

\frac{y ^{2}}{121} - \frac{x ^{2}}{196} = 1

((x-1)^2)/9-((y+3)^2)/4 =1

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

4 x^{2} - 18 y^{2} = 36

9x^2-4y^2-90x+32y-163=0

9 x^{2} - 4 y^{2} - 90 x + 32 y - 163 = 0

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

Frequently Asked Questions (FAQ)

What is y^2=4x^2-9 ?
The solution to y^2=4x^2-9 is Hyperbola with (h,k)=(0,0),a= 3/2 ,b=3