What is (x^2)/(81)-(y^2)/(49)=1 ?

The solution to (x^2)/(81)-(y^2)/(49)=1 is Hyperbola with (h,k)=(0,0),a=9,b=7

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(x^2)/(81)-(y^2)/(49)=1

\frac{x ^{2}}{81} - \frac{y ^{2}}{49} = 1

(h, k) = (0, 0), a = 9, b = 7

Solution steps

\frac{x ^{2}}{81} - \frac{y ^{2}}{49} = 1

Rewrite

\frac{x ^{2}}{81} - \frac{y ^{2}}{49} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{9 ^{2}} - \frac{( y - 0 ) ^{2}}{7 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 9, b = 7

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

(a + b) \cdot (a - b) = 20

y^{2} - 2 x^{2} + 6 y - 16 x - 31 = 0

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

x^{2} - 9 y^{2} - 2 x - 36 y = 44

What is (x^2)/(81)-(y^2)/(49)=1 ?
The solution to (x^2)/(81)-(y^2)/(49)=1 is Hyperbola with (h,k)=(0,0),a=9,b=7