What is (x+3)^2-y^2=159 ?

The solution to (x+3)^2-y^2=159 is Hyperbola with (h,k)=(-3,0),a=sqrt(159),b=sqrt(159)

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(x+3)^2-y^2=159

(x + 3)^{2} - y^{2} = 159

(h, k) = (- 3, 0), a = 159, b = 159

Solution steps

(x + 3)^{2} - y^{2} = 159

Rewrite

(x + 3)^{2} - y^{2} = 159

in the form of a standard hyperbola equation

\frac{( x - ( - 3 ) ) ^{2}}{( 159 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 159 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 3, 0), a = 159, b = 159

y^{2} - 2 x^{2} + 4 x - 4 y = 0

9 x^{(2)} - 36 x - 16 y^{(2)} - 32 y = 124

y = (x^{2} - y^{2})

4 x^{2} - 24 x - 36 y^{2} - 360 y + 864 = 0

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

What is (x+3)^2-y^2=159 ?
The solution to (x+3)^2-y^2=159 is Hyperbola with (h,k)=(-3,0),a=sqrt(159),b=sqrt(159)