What is y^2-(x+1)^2=3 ?

The solution to y^2-(x+1)^2=3 is Hyperbola with (h,k)=(-1,0),a=sqrt(3),b=sqrt(3)

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y^2-(x+1)^2=3

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

(h, k) = (- 1, 0), a = 3, b = 3

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 1, 0), a = 3, b = 3

y \frac{y}{x} + 1 = x

\frac{( x - 1 ) ^{2}}{25} - \frac{( y + 6 ) ^{2}}{49} = 1

\frac{( y - 1 ) ^{2}}{9} - \frac{( x - 1 ) ^{2}}{4} = 1

36 x^{2} - 9 y^{2} - 324 = 0

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

What is y^2-(x+1)^2=3 ?
The solution to y^2-(x+1)^2=3 is Hyperbola with (h,k)=(-1,0),a=sqrt(3),b=sqrt(3)