What is 36y^2-5x^2=180 ?

The solution to 36y^2-5x^2=180 is Hyperbola with (h,k)=(0,0),a=sqrt(5),b=6

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36y^2-5x^2=180

36 y^{2} - 5 x^{2} = 180

(h, k) = (0, 0), a = 5, b = 6

Solution steps

36 y^{2} - 5 x^{2} = 180

Rewrite

36 y^{2} - 5 x^{2} = 180

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( 5 ) ^{2}} - \frac{( x - 0 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 6

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

\frac{( x - 2 ) ^{2}}{7} - \frac{( y + 1 ) ^{2}}{9} = 1

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

8 y^{2} - x^{2} - 16 y + 8 x - 32 = 0

2 x^{2} - y^{2} + 4 x + 2 y - 3 = 0

What is 36y^2-5x^2=180 ?
The solution to 36y^2-5x^2=180 is Hyperbola with (h,k)=(0,0),a=sqrt(5),b=6