What is 5y^2-x^2=25 ?

The solution to 5y^2-x^2=25 is Hyperbola with (h,k)=(0,0),a=sqrt(5),b=5

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5y^2-x^2=25

5 y^{2} - x^{2} = 25

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

Solution steps

5 y^{2} - x^{2} = 25

Rewrite

5 y^{2} - x^{2} = 25

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

18 x^{2} - 32 y^{2} - 108 y - 128 x - 254 = 0

9 x^{2} - 16 y^{2} - 18 x - 64 y - 199 = 0

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

9 y^{2} - x^{2} + 2 x + 54 y + 62 = 0

\frac{( x - 5 ) ^{2}}{4} - \frac{( y + 5 ) ^{2}}{9} = 1

What is 5y^2-x^2=25 ?
The solution to 5y^2-x^2=25 is Hyperbola with (h,k)=(0,0),a=sqrt(5),b=5