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

The solution to y^2-36x^2=36 is Hyperbola with (h,k)=(0,0),a=6,b=1

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y^2-36x^2=36

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

(h, k) = (0, 0), a = 6, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = 1

12 x^{2} + 6 y^{2} + 3 = 10 x^{2} + 10 y^{2} + 4

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

4 x^{2} - 12 y^{2} + 8 x + 2 y = 2

- 25 x^{2} + 4 y^{2} - 100 = 0

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

What is y^2-36x^2=36 ?
The solution to y^2-36x^2=36 is Hyperbola with (h,k)=(0,0),a=6,b=1