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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

f (x) (f (x)) = x^{2} + x + 1

4 x^{2} - 9 y^{2} - 16 x + 54 y - 101 = 0

y^{2} - x^{2} = 81

36 + y^{2} = x^{2}

(16) x^{2} - (225) y^{2} + (0) x + (- 2250) y + (2025) = 0

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