What is 2x^2-y^2=17 ?

The solution to 2x^2-y^2=17 is Hyperbola with (h,k)=(0,0),a=sqrt(17/2),b=sqrt(17)

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2x^2-y^2=17

2 x^{2} - y^{2} = 17

(h, k) = (0, 0), a = \frac{17}{2}, b = 17

Solution steps

2 x^{2} - y^{2} = 17

Rewrite

2 x^{2} - y^{2} = 17

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{17}{2} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 17 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{17}{2}, b = 17

x^{2} - 4 y^{2} = 45

a^{2} - b^{2} = 8

x^{2} - 4 y^{2} + 2 x - 8 y - 19 = 0

x^{2} - y^{2} - 8 x + 2 y + 14 = 0

9 x^{2} - y^{2} + 54 x + 10 y + 55 = 0

What is 2x^2-y^2=17 ?
The solution to 2x^2-y^2=17 is Hyperbola with (h,k)=(0,0),a=sqrt(17/2),b=sqrt(17)