What is 9x^2-4y^2-18x-16y-43=0 ?

The solution to 9x^2-4y^2-18x-16y-43=0 is Hyperbola with (h,k)=(1,-2),a=2,b=3

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9x^2-4y^2-18x-16y-43=0

9 x^{2} - 4 y^{2} - 18 x - 16 y - 43 = 0

(h, k) = (1, - 2), a = 2, b = 3

Solution steps

9 x^{2} - 4 y^{2} - 18 x - 16 y - 43 = 0

Rewrite

9 x^{2} - 4 y^{2} - 18 x - 16 y - 43 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, - 2), a = 2, b = 3

\frac{( x ^{2} )}{4} - \frac{( y ^{2} )}{9} = 1

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

9 x^{2} - 16 y^{2} - 108 x + 64 y + 116 = 0

\frac{( y + 3 ) ^{2}}{2} - \frac{( x - 1 ) ^{2}}{18} = 1

\frac{x ^{2}}{1} - \frac{y ^{2}}{16} = 1

What is 9x^2-4y^2-18x-16y-43=0 ?
The solution to 9x^2-4y^2-18x-16y-43=0 is Hyperbola with (h,k)=(1,-2),a=2,b=3