What is -2x^2+8y^2-8x-16y=30 ?

The solution to -2x^2+8y^2-8x-16y=30 is Hyperbola with (h,k)=(-2,1),a=(sqrt(15))/2 ,b=sqrt(15)

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-2x^2+8y^2-8x-16y=30

- 2 x^{2} + 8 y^{2} - 8 x - 16 y = 30

(h, k) = (- 2, 1), a = \frac{15}{2}, b = 15

Solution steps

- 2 x^{2} + 8 y^{2} - 8 x - 16 y = 30

Rewrite

- 2 x^{2} + 8 y^{2} - 8 x - 16 y = 30

in the form of a standard hyperbola equation

\frac{( y - 1 ) ^{2}}{( \frac{15}{2} ) ^{2}} - \frac{( x - ( - 2 ) ) ^{2}}{( 15 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 2, 1), a = \frac{15}{2}, b = 15

4 y^{2} - 9 x^{2} + 16 y + 18 x - 29 = 0

4 x^{2} - y^{2} - 24 x - 8 y = 44

4 x^{2} - 9 y^{2} + 16 x + 18 y - 11 = 0

(16) x^{2} + (256) x - (361) y^{2} - 3610 y + (4273) = 0

x, x^{2} + 10 x + 25 = x + k (x)^{2}

What is -2x^2+8y^2-8x-16y=30 ?
The solution to -2x^2+8y^2-8x-16y=30 is Hyperbola with (h,k)=(-2,1),a=(sqrt(15))/2 ,b=sqrt(15)