What is (x^2)/6-(y^2)/(25)=1 ?

The solution to (x^2)/6-(y^2)/(25)=1 is Hyperbola with (h,k)=(0,0),a=sqrt(6),b=5

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(x^2)/6-(y^2)/(25)=1

\frac{x ^{2}}{6} - \frac{y ^{2}}{25} = 1

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

Solution steps

\frac{x ^{2}}{6} - \frac{y ^{2}}{25} = 1

Rewrite

\frac{x ^{2}}{6} - \frac{y ^{2}}{25} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

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

4 x^{2} - y^{2} - 16 x + 2 y + 3 = 0

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

x^{2} - y^{2} - 3 x + 5 y - 16 = 0

x^{2} - 9 y^{2} - 10 x + 36 y - 2 = 0

What is (x^2)/6-(y^2)/(25)=1 ?
The solution to (x^2)/6-(y^2)/(25)=1 is Hyperbola with (h,k)=(0,0),a=sqrt(6),b=5