What is (x^2)/(65)-(y^2)/(65)=1 ?

The solution to (x^2)/(65)-(y^2)/(65)=1 is Hyperbola with (h,k)=(0,0),a=sqrt(65),b=sqrt(65)

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(x^2)/(65)-(y^2)/(65)=1

\frac{x ^{2}}{65} - \frac{y ^{2}}{65} = 1

(h, k) = (0, 0), a = 65, b = 65

Solution steps

\frac{x ^{2}}{65} - \frac{y ^{2}}{65} = 1

Rewrite

\frac{x ^{2}}{65} - \frac{y ^{2}}{65} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 65 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 65 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 65, b = 65

x^{2} - y^{2} + 4 y = 1

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

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

3 x^{2} - y^{2} + 6 x - 12 y = 0

x^{2} - 2 y^{2} \leq 3

What is (x^2)/(65)-(y^2)/(65)=1 ?
The solution to (x^2)/(65)-(y^2)/(65)=1 is Hyperbola with (h,k)=(0,0),a=sqrt(65),b=sqrt(65)