What is (x^2)/(81)-(y^2)/(64)=1 ?

The solution to (x^2)/(81)-(y^2)/(64)=1 is Hyperbola with (h,k)=(0,0),a=9,b=8

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(x^2)/(81)-(y^2)/(64)=1

\frac{x ^{2}}{81} - \frac{y ^{2}}{64} = 1

(h, k) = (0, 0), a = 9, b = 8

Solution steps

\frac{x ^{2}}{81} - \frac{y ^{2}}{64} = 1

Rewrite

\frac{x ^{2}}{81} - \frac{y ^{2}}{64} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{9 ^{2}} - \frac{( y - 0 ) ^{2}}{8 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 9, b = 8

2 y^{2} - 9 x^{2} - 18 x + 20 y + 5 = 0

36 = 9 x^{2} - 4 y^{2}

x^{2} - 4 y^{2} = 3

x^{(2)} + 9 = y^{(2)}

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

What is (x^2)/(81)-(y^2)/(64)=1 ?
The solution to (x^2)/(81)-(y^2)/(64)=1 is Hyperbola with (h,k)=(0,0),a=9,b=8