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

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

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x^2-5y^2=25

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

\frac{y ^{2}}{100} - \frac{x ^{2}}{36} = 1

\frac{y ^{2}}{36} - \frac{x ^{2}}{9} = 1

12 x^{2} - 4 y^{2} - 72 x - 16 y + 44 = 0

- x^{2} + 36 z^{2} = 9

x, 3 x^{2} - 6 Y (x)^{2} - 36 = 0

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