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

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

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

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

(h, k) = (2, 0), a = 9, b = 7

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (2, 0), a = 9, b = 7

3 x^{2} - 2 y^{2} + 32 y - 134 = 0

4 x^{2} - 9 y^{2} - 16 x + 18 y - 9 = 0

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

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

a^{2} - b^{2} = 68

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