What is ((x+5)^2)/(16)-((y-2)^2)/(36)=2 ?

The solution to ((x+5)^2)/(16)-((y-2)^2)/(36)=2 is Hyperbola with (h,k)=(-5,2),a=4sqrt(2),b=6sqrt(2)

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((x+5)^2)/(16)-((y-2)^2)/(36)=2

\frac{( x + 5 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{36} = 2

(h, k) = (- 5, 2), a = 42, b = 62

Solution steps

\frac{( x + 5 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{36} = 2

Rewrite

\frac{( x + 5 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{36} = 2

in the form of a standard hyperbola equation

\frac{( x - ( - 5 ) ) ^{2}}{( 4 2 ) ^{2}} - \frac{( y - 2 ) ^{2}}{( 6 2 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 5, 2), a = 42, b = 62

\frac{x ^{2}}{9} - \frac{y ^{2}}{27} = 1

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

\frac{( y + 4 ) ^{2}}{64} - \frac{( x + 3 ) ^{2}}{25} = 1

\frac{( 4 x ^{2} - 4 y ^{2} - 4 )}{( x ^{2} + y ^{2} + 1 ) ^{2}} = 0

f (x) (f (x)) = 2 x^{2} - 3 x + 2

What is ((x+5)^2)/(16)-((y-2)^2)/(36)=2 ?
The solution to ((x+5)^2)/(16)-((y-2)^2)/(36)=2 is Hyperbola with (h,k)=(-5,2),a=4sqrt(2),b=6sqrt(2)