What is -x^2+4y^2-2x-16y+11=0 ?

The solution to -x^2+4y^2-2x-16y+11=0 is Hyperbola with (h,k)=(-1,2),a=1,b=2

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-x^2+4y^2-2x-16y+11=0

- x^{2} + 4 y^{2} - 2 x - 16 y + 11 = 0

(h, k) = (- 1, 2), a = 1, b = 2

Solution steps

- x^{2} + 4 y^{2} - 2 x - 16 y + 11 = 0

Rewrite

- x^{2} + 4 y^{2} - 2 x - 16 y + 11 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 1, 2), a = 1, b = 2

y^{2} = x^{2} + 7

3 x^{2} - 5 y^{2} = - 2

1 = 2 x^{2} - y^{2}

64 y^{2} - 25 x^{2} = 1600

- x^{2} - 8 x + y^{2} + 6 y - 23 = 0

What is -x^2+4y^2-2x-16y+11=0 ?
The solution to -x^2+4y^2-2x-16y+11=0 is Hyperbola with (h,k)=(-1,2),a=1,b=2