What is ((y-3)^2)/(81)-((x+5)^2)/(144)=1 ?

The solution to ((y-3)^2)/(81)-((x+5)^2)/(144)=1 is Hyperbola with (h,k)=(-5,3),a=9,b=12

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((y-3)^2)/(81)-((x+5)^2)/(144)=1

\frac{( y - 3 ) ^{2}}{81} - \frac{( x + 5 ) ^{2}}{144} = 1

(h, k) = (- 5, 3), a = 9, b = 12

Solution steps

\frac{( y - 3 ) ^{2}}{81} - \frac{( x + 5 ) ^{2}}{144} = 1

Rewrite

\frac{( y - 3 ) ^{2}}{81} - \frac{( x + 5 ) ^{2}}{144} = 1

in the form of a standard hyperbola equation

\frac{( y - 3 ) ^{2}}{9 ^{2}} - \frac{( x - ( - 5 ) ) ^{2}}{1 2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 5, 3), a = 9, b = 12

(\frac{y ^{2}}{4}) - (\frac{x ^{2}}{16}) = 1

\frac{( x - 3 ) ^{2}}{16} - \frac{y ^{2}}{4} = 1

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

5 y^{2} - 6 x - 3 x^{2} - 10 y - 13 = 0

[f (x)]^{2} = 5 x^{2} - x + 3

What is ((y-3)^2)/(81)-((x+5)^2)/(144)=1 ?
The solution to ((y-3)^2)/(81)-((x+5)^2)/(144)=1 is Hyperbola with (h,k)=(-5,3),a=9,b=12