What is y^2-4x^2=36 ?

The solution to y^2-4x^2=36 is Hyperbola with (h,k)=(0,0),a=6,b=3

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y^2-4x^2=36

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

(h, k) = (0, 0), a = 6, b = 3

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{6 ^{2}} - \frac{( x - 0 ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = 3

4 x^{2} = y^{2} + 100

\frac{x ^{2}}{1} - \frac{y ^{2}}{35} = 1

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

x^{2} - y^{2} - 64 = 0

y^{2} - 4 x^{2} - 4 y - 8 x - 4 = 0

What is y^2-4x^2=36 ?
The solution to y^2-4x^2=36 is Hyperbola with (h,k)=(0,0),a=6,b=3