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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

(x^{2} - 4 x + 4) - (y^{2} - 6 y + 9) = 9

a^{2} + 150 = b^{2} + 9

3 x^{2} - 5 y^{2} = 7

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

6 x^{(2)} - 5 y^{(2)} + 24 x + 20 y - 56 = 0

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