What is 9x^2-8y^2=3 ?

The solution to 9x^2-8y^2=3 is Hyperbola with (h,k)=(0,0),a=sqrt(1/3),b=(sqrt(3))/(2sqrt(2))

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9x^2-8y^2=3

9 x^{2} - 8 y^{2} = 3

(h, k) = (0, 0), a = \frac{1}{3}, b = \frac{3}{2 2}

Solution steps

9 x^{2} - 8 y^{2} = 3

Rewrite

9 x^{2} - 8 y^{2} = 3

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1}{3}, b = \frac{3}{2 2}

\frac{( x + 8 ) ^{2}}{169} - \frac{( y + 9 ) ^{2}}{25} = 1

\frac{( x - 3 ) ^{2}}{9} - \frac{( y - 1 ) ^{2}}{16} = 1

9 x^{2} - 100 y^{2} = 25

4 x^{2} - 49 y^{2} - 24 x + 882 y - 4129 = 0

\frac{- y ^{2}}{4} + \frac{z ^{2}}{4} = 1 - \frac{5}{4}

What is 9x^2-8y^2=3 ?
The solution to 9x^2-8y^2=3 is Hyperbola with (h,k)=(0,0),a=sqrt(1/3),b=(sqrt(3))/(2sqrt(2))