What is x^2-y^2+6x=16 ?

The solution to x^2-y^2+6x=16 is Hyperbola with (h,k)=(-3,0),a=5,b=5

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x^2-y^2+6x=16

x^{2} - y^{2} + 6 x = 16

(h, k) = (- 3, 0), a = 5, b = 5

Solution steps

x^{2} - y^{2} + 6 x = 16

Rewrite

x^{2} - y^{2} + 6 x = 16

in the form of a standard hyperbola equation

\frac{( x - ( - 3 ) ) ^{2}}{5 ^{2}} - \frac{( y - 0 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 3, 0), a = 5, b = 5

\frac{( y - 6 ) ^{2}}{36} - \frac{( x + 1 ) ^{2}}{16} = 1

x^{2} - y^{2} = 2^{100}

x^{2} - y^{2} + x - y - 44 = 0

4 x^{2} - 25 y^{2} + 24 x + 100 y + 36 = 0

16 x^{2} - 4 y^{2} = 49

What is x^2-y^2+6x=16 ?
The solution to x^2-y^2+6x=16 is Hyperbola with (h,k)=(-3,0),a=5,b=5