What is 3x^2-5y^2=7 ?

The solution to 3x^2-5y^2=7 is Hyperbola with (h,k)=(0,0),a=sqrt(7/3),b=sqrt(7/5)

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3x^2-5y^2=7

3 x^{2} - 5 y^{2} = 7

(h, k) = (0, 0), a = \frac{7}{3}, b = \frac{7}{5}

Solution steps

3 x^{2} - 5 y^{2} = 7

Rewrite

3 x^{2} - 5 y^{2} = 7

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{7}{3} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{7}{5} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{7}{3}, b = \frac{7}{5}

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

6 x^{(2)} - 5 y^{(2)} + 24 x + 20 y - 56 = 0

\frac{x ^{2}}{49} - \frac{( y + 2 ) ^{2}}{79} = 1

- \frac{x ^{2}}{144} + \frac{y ^{2}}{25} = 1

\frac{( x - 4 ) ^{2}}{16} - \frac{( y + 2 ) ^{2}}{25} = 1

What is 3x^2-5y^2=7 ?
The solution to 3x^2-5y^2=7 is Hyperbola with (h,k)=(0,0),a=sqrt(7/3),b=sqrt(7/5)