What is x^2-4y^2+2x-35=0 ?

The solution to x^2-4y^2+2x-35=0 is Hyperbola with (h,k)=(-1,0),a=6,b=3

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x^2-4y^2+2x-35=0

x^{2} - 4 y^{2} + 2 x - 35 = 0

(h, k) = (- 1, 0), a = 6, b = 3

Solution steps

x^{2} - 4 y^{2} + 2 x - 35 = 0

Rewrite

x^{2} - 4 y^{2} + 2 x - 35 = 0

in the form of a standard hyperbola equation

\frac{( x - ( - 1 ) ) ^{2}}{6 ^{2}} - \frac{( y - 0 ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 1, 0), a = 6, b = 3

x^{(2)} - 2 y^{(2)} = 8

a^{2} - b^{2} = 21

a^{2} - b^{2} = 16

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

5 y^{2} - 4 x^{2} - 20 = 0

What is x^2-4y^2+2x-35=0 ?
The solution to x^2-4y^2+2x-35=0 is Hyperbola with (h,k)=(-1,0),a=6,b=3