What is 2x^2+16x-(y+6)^2=0 ?

The solution to 2x^2+16x-(y+6)^2=0 is Hyperbola with (h,k)=(-4,-6),a=4,b=4sqrt(2)

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2x^2+16x-(y+6)^2=0

2 x^{2} + 16 x - (y + 6)^{2} = 0

(h, k) = (- 4, - 6), a = 4, b = 42

Solution steps

2 x^{2} + 16 x - (y + 6)^{2} = 0

Rewrite

2 x^{2} + 16 x - (y + 6)^{2} = 0

in the form of a standard hyperbola equation

\frac{( x - ( - 4 ) ) ^{2}}{4 ^{2}} - \frac{( y - ( - 6 ) ) ^{2}}{( 4 2 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 4, - 6), a = 4, b = 42

2 xx - 3 yy = 13

\frac{( y - 5 ) ^{2}}{100} - \frac{( x + 1 ) ^{2}}{25} = 1

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

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

x^{2} - 6 x - 9 y^{2} - 54 y - 81 = 0

What is 2x^2+16x-(y+6)^2=0 ?
The solution to 2x^2+16x-(y+6)^2=0 is Hyperbola with (h,k)=(-4,-6),a=4,b=4sqrt(2)