What is -4x^2+y^2+8x-20=0 ?

The solution to -4x^2+y^2+8x-20=0 is Hyperbola with (h,k)=(1,0),a=4,b=2

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-4x^2+y^2+8x-20=0

- 4 x^{2} + y^{2} + 8 x - 20 = 0

(h, k) = (1, 0), a = 4, b = 2

Solution steps

- 4 x^{2} + y^{2} + 8 x - 20 = 0

Rewrite

- 4 x^{2} + y^{2} + 8 x - 20 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, 0), a = 4, b = 2

\frac{( y - 7 ) ^{2}}{32} - \frac{( x - 1 ) ^{2}}{64} = 1

36 x^{2} - 16 y^{2} - 144 x + 128 y - 265 = 0

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

9 x^{2} - 16 y^{2} - 54 x - 64 y - 127 = 0

4 x^{2} - 5 y^{2} = 7

What is -4x^2+y^2+8x-20=0 ?
The solution to -4x^2+y^2+8x-20=0 is Hyperbola with (h,k)=(1,0),a=4,b=2