What is (x^2)/2+(y^2)/(-2-16)=1 ?

The solution to (x^2)/2+(y^2)/(-2-16)=1 is Hyperbola with (h,k)=(0,0),a=3sqrt(2),b=sqrt(2)

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(x^2)/2+(y^2)/(-2-16)=1

\frac{x ^{2}}{2} + \frac{y ^{2}}{- 2 - 16} = 1

(h, k) = (0, 0), a = 32, b = 2

Solution steps

\frac{x ^{2}}{2} + \frac{y ^{2}}{- 2 - 16} = 1

Rewrite

\frac{x ^{2}}{2} + \frac{y ^{2}}{- 2 - 16} = 1

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( 3 2 ) ^{2}} - \frac{( x - 0 ) ^{2}}{( 2 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 32, b = 2

\frac{2}{x - y} + \frac{3}{x + y} = 2

y^{2} - x^{2} = 27

(x + y) (x - y) = 14

(x + y) (x - y) = 12

(\frac{y - 4}{9})^{2} - (\frac{x - 6}{5})^{2} = 1

What is (x^2)/2+(y^2)/(-2-16)=1 ?
The solution to (x^2)/2+(y^2)/(-2-16)=1 is Hyperbola with (h,k)=(0,0),a=3sqrt(2),b=sqrt(2)