What is (x+5)^2-(y+6)^2=20 ?

The solution to (x+5)^2-(y+6)^2=20 is Hyperbola with (h,k)=(-5,-6),a=2sqrt(5),b=2sqrt(5)

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(x+5)^2-(y+6)^2=20

(x + 5)^{2} - (y + 6)^{2} = 20

(h, k) = (- 5, - 6), a = 25, b = 25

Solution steps

(x + 5)^{2} - (y + 6)^{2} = 20

Rewrite

(x + 5)^{2} - (y + 6)^{2} = 20

in the form of a standard hyperbola equation

\frac{( x - ( - 5 ) ) ^{2}}{( 2 5 ) ^{2}} - \frac{( y - ( - 6 ) ) ^{2}}{( 2 5 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 5, - 6), a = 25, b = 25

- x^{2} + 2 y^{2} = 1

\frac{x ^{2}}{100} - \frac{y ^{2}}{75} = 1

64 x^{2} - 36 y^{2} + 192 x + 36 y - 441 = 0

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

\frac{( x + 5 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{36} = 2

What is (x+5)^2-(y+6)^2=20 ?
The solution to (x+5)^2-(y+6)^2=20 is Hyperbola with (h,k)=(-5,-6),a=2sqrt(5),b=2sqrt(5)