What is 5x^2-4y^2=2 ?

The solution to 5x^2-4y^2=2 is Hyperbola with (h,k)=(0,0),a=sqrt(2/5),b=sqrt(1/2)

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5x^2-4y^2=2

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

(h, k) = (0, 0), a = \frac{2}{5}, b = \frac{1}{2}

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{2}{5} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{1}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{2}{5}, b = \frac{1}{2}

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

\frac{x ^{2}}{64} - \frac{y ^{2}}{16} = 1

\frac{( x - 3 ) ^{2}}{4} - \frac{y ^{2}}{25} = 1

x^{2} - 4 y^{2} - 4 > 0

\frac{( y + 3 ) ^{2}}{9} - \frac{( x - 1 ) ^{2}}{25} = 1

What is 5x^2-4y^2=2 ?
The solution to 5x^2-4y^2=2 is Hyperbola with (h,k)=(0,0),a=sqrt(2/5),b=sqrt(1/2)