What is (x+1)^2-(y+1)^2=2193 ?

The solution to (x+1)^2-(y+1)^2=2193 is Hyperbola with (h,k)=(-1,-1),a=sqrt(2193),b=sqrt(2193)

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(x+1)^2-(y+1)^2=2193

(x + 1)^{2} - (y + 1)^{2} = 2193

(h, k) = (- 1, - 1), a = 2193, b = 2193

Solution steps

(x + 1)^{2} - (y + 1)^{2} = 2193

Rewrite

(x + 1)^{2} - (y + 1)^{2} = 2193

in the form of a standard hyperbola equation

\frac{( x - ( - 1 ) ) ^{2}}{( 2193 ) ^{2}} - \frac{( y - ( - 1 ) ) ^{2}}{( 2193 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 1, - 1), a = 2193, b = 2193

\frac{x ^{2}}{25} - \frac{( y - 3 ) ^{2}}{4} = 1

y^{2} - 324 x^{2} = - 36

\frac{( y ^{2} )}{27} - \frac{( x ^{2} )}{0} = 1

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

8 x^{2} - 9 y^{2} - 63 x - 18 y + 65 = 0

What is (x+1)^2-(y+1)^2=2193 ?
The solution to (x+1)^2-(y+1)^2=2193 is Hyperbola with (h,k)=(-1,-1),a=sqrt(2193),b=sqrt(2193)