What is x^2-9y^2+2x-5yy-80=0 ?

The solution to x^2-9y^2+2x-5yy-80=0 is Hyperbola with (h,k)=(-1,0),a=9,b= 9/(sqrt(14))

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x^2-9y^2+2x-5yy-80=0

x^{2} - 9 y^{2} + 2 x - 5 yy - 80 = 0

(h, k) = (- 1, 0), a = 9, b = \frac{9}{14}

Solution steps

x^{2} - 9 y^{2} + 2 x - 5 yy - 80 = 0

Rewrite

x^{2} - 9 y^{2} + 2 x - 5 yy - 80 = 0

in the form of a standard hyperbola equation

\frac{( x - ( - 1 ) ) ^{2}}{9 ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{9}{14} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 1, 0), a = 9, b = \frac{9}{14}

500 a^{2} = 4368.932 + 500 b^{2}

9 a^{2} = 9 b^{2} + 4455

4 x^{2} - y^{2} + 8 y - 32 = 0

4 x^{2} - 4 y^{2} - 32 x + 16 y + 39 = 0

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

What is x^2-9y^2+2x-5yy-80=0 ?
The solution to x^2-9y^2+2x-5yy-80=0 is Hyperbola with (h,k)=(-1,0),a=9,b= 9/(sqrt(14))