What is (x+5)^2-(y-3)^2=16 ?

The solution to (x+5)^2-(y-3)^2=16 is Hyperbola with (h,k)=(-5,3),a=4,b=4

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(x+5)^2-(y-3)^2=16

(x + 5)^{2} - (y - 3)^{2} = 16

(h, k) = (- 5, 3), a = 4, b = 4

Solution steps

(x + 5)^{2} - (y - 3)^{2} = 16

Rewrite

(x + 5)^{2} - (y - 3)^{2} = 16

in the form of a standard hyperbola equation

\frac{( x - ( - 5 ) ) ^{2}}{4 ^{2}} - \frac{( y - 3 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 5, 3), a = 4, b = 4

25 x^{2} - 49 y^{2} - 100 x + 294 y + 884 = 0

x^{2} - 2 x - y^{2} - 6 y + 9 = 0

\frac{y ^{2}}{36} - \frac{x ^{2}}{64} = 1

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

\frac{x ^{2}}{4} - \frac{y ^{2}}{36} = 1

What is (x+5)^2-(y-3)^2=16 ?
The solution to (x+5)^2-(y-3)^2=16 is Hyperbola with (h,k)=(-5,3),a=4,b=4