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

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

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x^2-2y^2=16

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

143 x^{2} - y^{2} + 152 x + 2 y + 164 = 0

15 x^{2} - 7 y^{2} + 3 x - 5 = 0

x^{2} - y^{2} + 1 > 0

4 x^{2} - y^{2} + 8 x + 6 y - 6 = 0

8 x^{2} - 4 y^{2} - 16 x - 24 = 0

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