What is 3x^2-5y^2=-2 ?

The solution to 3x^2-5y^2=-2 is Hyperbola with (h,k)=(0,0),a=sqrt(2/5),b=sqrt(2/3)

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3x^2-5y^2=-2

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

(h, k) = (0, 0), a = \frac{2}{5}, b = \frac{2}{3}

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( \frac{2}{5} ) ^{2}} - \frac{( x - 0 ) ^{2}}{( \frac{2}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{2}{5}, b = \frac{2}{3}

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

64 y^{2} - 25 x^{2} = 1600

- x^{2} - 8 x + y^{2} + 6 y - 23 = 0

4 x^{2} - y^{2} - 24 x - 8 y - 44 = 0

- 40 a^{2} + 28 b^{2} - 256 = 0

What is 3x^2-5y^2=-2 ?
The solution to 3x^2-5y^2=-2 is Hyperbola with (h,k)=(0,0),a=sqrt(2/5),b=sqrt(2/3)