What is -9x^2+4y^2-36x-16y-164=0 ?

The solution to -9x^2+4y^2-36x-16y-164=0 is Hyperbola with (h,k)=(-2,2),a=6,b=4

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-9x^2+4y^2-36x-16y-164=0

- 9 x^{2} + 4 y^{2} - 36 x - 16 y - 164 = 0

(h, k) = (- 2, 2), a = 6, b = 4

Solution steps

- 9 x^{2} + 4 y^{2} - 36 x - 16 y - 164 = 0

Rewrite

- 9 x^{2} + 4 y^{2} - 36 x - 16 y - 164 = 0

in the form of a standard hyperbola equation

\frac{( y - 2 ) ^{2}}{6 ^{2}} - \frac{( x - ( - 2 ) ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 2, 2), a = 6, b = 4

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

x = - 2 y^{2}

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

\frac{x ^{2}}{7} + \frac{y ^{2}}{16} = 1

y^{2} = \frac{7}{2} x

What is -9x^2+4y^2-36x-16y-164=0 ?
The solution to -9x^2+4y^2-36x-16y-164=0 is Hyperbola with (h,k)=(-2,2),a=6,b=4