What is (x^2)/(36)-(y^2)/(121)=1 ?

The solution to (x^2)/(36)-(y^2)/(121)=1 is Hyperbola with (h,k)=(0,0),a=6,b=11

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(x^2)/(36)-(y^2)/(121)=1

\frac{x ^{2}}{36} - \frac{y ^{2}}{121} = 1

(h, k) = (0, 0), a = 6, b = 11

Solution steps

\frac{x ^{2}}{36} - \frac{y ^{2}}{121} = 1

Rewrite

\frac{x ^{2}}{36} - \frac{y ^{2}}{121} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = 11

\frac{x ^{2} - y ^{2}}{11 x \cdot 2} = 4

4 (y - \frac{1}{2})^{2} - 16 (x + \frac{3}{2})^{2} = \frac{3}{2}

(2 x + 5)^{2} + (3 y - 2)^{2} = (3 x - 4)^{2} + (2 y + 1)^{2}

x^{2} - 9 y^{2} - 9 = 0

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

What is (x^2)/(36)-(y^2)/(121)=1 ?
The solution to (x^2)/(36)-(y^2)/(121)=1 is Hyperbola with (h,k)=(0,0),a=6,b=11