What is x^2-y^2+10x-6y=2 ?

The solution to x^2-y^2+10x-6y=2 is Hyperbola with (h,k)=(-5,-3),a=3sqrt(2),b=3sqrt(2)

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x^2-y^2+10x-6y=2

x^{2} - y^{2} + 10 x - 6 y = 2

(h, k) = (- 5, - 3), a = 32, b = 32

Solution steps

x^{2} - y^{2} + 10 x - 6 y = 2

Rewrite

x^{2} - y^{2} + 10 x - 6 y = 2

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 5, - 3), a = 32, b = 32

x^{2} - y^{2} = 200 0^{2}

6 x^{2} - \frac{2}{3} y^{2} = 4

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

x^{2} + 2 x - y^{2} - 2 y + 3 = 0

(x - 3)^{2} = 8 + (y + 5)^{2}

What is x^2-y^2+10x-6y=2 ?
The solution to x^2-y^2+10x-6y=2 is Hyperbola with (h,k)=(-5,-3),a=3sqrt(2),b=3sqrt(2)