What is 1/2 y^2=2x^2-0.02 ?

The solution to 1/2 y^2=2x^2-0.02 is Hyperbola with (h,k)=(0,0),a=0.1,b=0.2

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1/2 y^2=2x^2-0.02

\frac{1}{2} y^{2} = 2 x^{2} - 0.02

(h, k) = (0, 0), a = 0.1, b = 0.2

Solution steps

\frac{1}{2} y^{2} = 2 x^{2} - 0.02

Rewrite

\frac{1}{2} y^{2} = 2 x^{2} - 0.02

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 0.1, b = 0.2

y^{2} - 6 x^{2} + 60 x + 2 y = 173

4 (x - 2)^{2} - (y - 1)^{2} = 63

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

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

25 x^{2} - 32 y^{2} - 800 = 0

What is 1/2 y^2=2x^2-0.02 ?
The solution to 1/2 y^2=2x^2-0.02 is Hyperbola with (h,k)=(0,0),a=0.1,b=0.2