What is y^2-2x^2-16=0 ?

The solution to y^2-2x^2-16=0 is Hyperbola with (h,k)=(0,0),a=4,b=2sqrt(2)

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y^2-2x^2-16=0

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

(h, k) = (0, 0), a = 4, b = 22

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 4, b = 22

x^{2} = 280 0^{2} + y^{2} - 2 (2800) (y) cos (2 0^{\circ})

x^{2} - (y - 3960)^{2} = 396 0^{2}

10 x^{2} - 64 y^{2} - 140 x + 768 y - 2304 = 0

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

9 x^{2} - 25 y^{2} = 49

What is y^2-2x^2-16=0 ?
The solution to y^2-2x^2-16=0 is Hyperbola with (h,k)=(0,0),a=4,b=2sqrt(2)