What is x^2-y^2+6x=11 ?

The solution to x^2-y^2+6x=11 is Hyperbola with (h,k)=(-3,0),a=2sqrt(5),b=2sqrt(5)

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x^2-y^2+6x=11

x^{2} - y^{2} + 6 x = 11

(h, k) = (- 3, 0), a = 25, b = 25

Solution steps

x^{2} - y^{2} + 6 x = 11

Rewrite

x^{2} - y^{2} + 6 x = 11

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 3, 0), a = 25, b = 25

\frac{( x - 0 ) ^{2}}{4} - \frac{( y - ( - 1 ) ) ^{2}}{16} = 1

\frac{y ^{2}}{2} + 3 y = \frac{x ^{2}}{2}

20 (x - y) = 5 x^{2} - 4 y^{2}

\frac{y ^{2}}{5} - \frac{x ^{2}}{25} = 1

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

What is x^2-y^2+6x=11 ?
The solution to x^2-y^2+6x=11 is Hyperbola with (h,k)=(-3,0),a=2sqrt(5),b=2sqrt(5)