What is x^2=2y^2-2*0.01 ?

The solution to x^2=2y^2-2*0.01 is Hyperbola with (h,k)=(0,0),a=0.1,b=0.14142…

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x^2=2y^2-2*0.01

x^{2} = 2 y^{2} - 2 \cdot 0.01

(h, k) = (0, 0), a = 0.1, b = 0.14142 \dots

Solution steps

x^{2} = 2 y^{2} - 2 \cdot 0.01

Rewrite

x^{2} = 2 y^{2} - 2 \cdot 0.01

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{0. 1 ^{2}} - \frac{( x - 0 ) ^{2}}{0.14142 \dots ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 0.1, b = 0.14142 \dots

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

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

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

x + y^{2} - x^{2} = 10

x^{2} - y^{2} = 1^{2}

What is x^2=2y^2-2*0.01 ?
The solution to x^2=2y^2-2*0.01 is Hyperbola with (h,k)=(0,0),a=0.1,b=0.14142…