What is 9x^2-y^2+72x+108=0 ?

The solution to 9x^2-y^2+72x+108=0 is Hyperbola with (h,k)=(-4,0),a=2,b=6

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9x^2-y^2+72x+108=0

9 x^{2} - y^{2} + 72 x + 108 = 0

(h, k) = (- 4, 0), a = 2, b = 6

Solution steps

9 x^{2} - y^{2} + 72 x + 108 = 0

Rewrite

9 x^{2} - y^{2} + 72 x + 108 = 0

in the form of a standard hyperbola equation

\frac{( x - ( - 4 ) ) ^{2}}{2 ^{2}} - \frac{( y - 0 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 4, 0), a = 2, b = 6

\frac{3 r ^{2}}{t + 2} \geq 5 t

36 x^{2} - 25 y^{2} = 900

2 x 6 x - y 4 y = 6 - 10

3 x^{2} - y^{2} + 6 x = 0

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

What is 9x^2-y^2+72x+108=0 ?
The solution to 9x^2-y^2+72x+108=0 is Hyperbola with (h,k)=(-4,0),a=2,b=6