What is x^2-9y^2+8x+36y-29=0 ?

The solution to x^2-9y^2+8x+36y-29=0 is Hyperbola with (h,k)=(-4,2),a=3,b=1

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x^2-9y^2+8x+36y-29=0

x^{2} - 9 y^{2} + 8 x + 36 y - 29 = 0

(h, k) = (- 4, 2), a = 3, b = 1

Solution steps

x^{2} - 9 y^{2} + 8 x + 36 y - 29 = 0

Rewrite

x^{2} - 9 y^{2} + 8 x + 36 y - 29 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 4, 2), a = 3, b = 1

7 y^{2} - 12 x^{2} = 84

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

y^{2} - (\frac{x ^{2}}{64}) = 1

x^{2} - y^{2} = 50

x^{2} - y^{2} = 51

What is x^2-9y^2+8x+36y-29=0 ?
The solution to x^2-9y^2+8x+36y-29=0 is Hyperbola with (h,k)=(-4,2),a=3,b=1