What is (x^2)/(81)-(y^2)/(61)=1 ?

The solution to (x^2)/(81)-(y^2)/(61)=1 is Hyperbola with (h,k)=(0,0),a=9,b=sqrt(61)

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(x^2)/(81)-(y^2)/(61)=1

\frac{x ^{2}}{81} - \frac{y ^{2}}{61} = 1

(h, k) = (0, 0), a = 9, b = 61

Solution steps

\frac{x ^{2}}{81} - \frac{y ^{2}}{61} = 1

Rewrite

\frac{x ^{2}}{81} - \frac{y ^{2}}{61} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{9 ^{2}} - \frac{( y - 0 ) ^{2}}{( 61 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 9, b = 61

\frac{( x - 27 ) ^{2}}{3} - \frac{( y - 4 ) ^{2}}{5} = 1

2 x^{2} - 3 y^{2} = 47

- 9 x^{2} + 4 y^{2} = 144

\frac{( x + 3 ) ^{2}}{9} - \frac{( y - 4 ) ^{2}}{16} = 1

y^{2} = \frac{16 - x ^{2}}{- 4}

What is (x^2)/(81)-(y^2)/(61)=1 ?
The solution to (x^2)/(81)-(y^2)/(61)=1 is Hyperbola with (h,k)=(0,0),a=9,b=sqrt(61)