What is (y^2)/(36)-(x^2)/(14)=1 ?

The solution to (y^2)/(36)-(x^2)/(14)=1 is Hyperbola with (h,k)=(0,0),a=6,b=sqrt(14)

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(y^2)/(36)-(x^2)/(14)=1

\frac{y ^{2}}{36} - \frac{x ^{2}}{14} = 1

(h, k) = (0, 0), a = 6, b = 14

Solution steps

\frac{y ^{2}}{36} - \frac{x ^{2}}{14} = 1

Rewrite

\frac{y ^{2}}{36} - \frac{x ^{2}}{14} = 1

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{6 ^{2}} - \frac{( x - 0 ) ^{2}}{( 14 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = 14

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

\frac{x ^{2}}{16} - \frac{y ^{2}}{20} = 1

4 x^{2} - y^{2} + 16 x + 16 y - 9 = 0

36 x^{2} - y^{2} - 24 x + 6 y - 41 = 0

\frac{x ^{2}}{4} + \frac{x}{2} - \frac{y ^{2}}{9} - \frac{2 y}{9} + \frac{1}{6} = 0

What is (y^2)/(36)-(x^2)/(14)=1 ?
The solution to (y^2)/(36)-(x^2)/(14)=1 is Hyperbola with (h,k)=(0,0),a=6,b=sqrt(14)