What is 10y^2-9x^2=80 ?

The solution to 10y^2-9x^2=80 is Hyperbola with (h,k)=(0,0),a=2sqrt(2),b=(4sqrt(5))/3

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10y^2-9x^2=80

10 y^{2} - 9 x^{2} = 80

(h, k) = (0, 0), a = 22, b = \frac{4 5}{3}

Solution steps

10 y^{2} - 9 x^{2} = 80

Rewrite

10 y^{2} - 9 x^{2} = 80

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( 2 2 ) ^{2}} - \frac{( x - 0 ) ^{2}}{( \frac{4 5}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 22, b = \frac{4 5}{3}

\frac{( x - 1 ) ^{2}}{4} - \frac{( y + 3 ) ^{2}}{16} = 1

x^{2} - 2 y^{2} + 4 x + 4 y + 4 = 0

- x^{2} + 4 y^{2} + 2 x + 24 y + 31 = 0

9 x^{2} - 16 y^{2} - 18 x + 64 y - 199 = 0

3631 + 896 x - 54 y = 9 y^{2} - 64 x^{2}

What is 10y^2-9x^2=80 ?
The solution to 10y^2-9x^2=80 is Hyperbola with (h,k)=(0,0),a=2sqrt(2),b=(4sqrt(5))/3