What is 9x^2-4y^2-18x-16y+29=0 ?

The solution to 9x^2-4y^2-18x-16y+29=0 is Hyperbola with (h,k)=(1,-2),a=3,b=2

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9x^2-4y^2-18x-16y+29=0

9 x^{2} - 4 y^{2} - 18 x - 16 y + 29 = 0

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

Solution steps

9 x^{2} - 4 y^{2} - 18 x - 16 y + 29 = 0

Rewrite

9 x^{2} - 4 y^{2} - 18 x - 16 y + 29 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

y^{2} - 25 x^{2} + 8 y - 9 = 0

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

49 x^{2} - 36 y^{2} = 1764

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

\frac{x ^{2}}{14} - \frac{y ^{2}}{30} = 1

What is 9x^2-4y^2-18x-16y+29=0 ?
The solution to 9x^2-4y^2-18x-16y+29=0 is Hyperbola with (h,k)=(1,-2),a=3,b=2