What is 4y^2-4x^2-24x+32y=-24 ?

The solution to 4y^2-4x^2-24x+32y=-24 is Hyperbola with (h,k)=(-3,-4),a=1,b=1

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4y^2-4x^2-24x+32y=-24

4 y^{2} - 4 x^{2} - 24 x + 32 y = - 24

(h, k) = (- 3, - 4), a = 1, b = 1

Solution steps

4 y^{2} - 4 x^{2} - 24 x + 32 y = - 24

Rewrite

4 y^{2} - 4 x^{2} - 24 x + 32 y = - 24

in the form of a standard hyperbola equation

\frac{( y - ( - 4 ) ) ^{2}}{1 ^{2}} - \frac{( x - ( - 3 ) ) ^{2}}{1 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 3, - 4), a = 1, b = 1

9 x^{2} - 16 y^{2} + 576 = 0

5 x^{2} - 5 y^{2} - 9 x - 14 y + 26 = 0

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

f (x) (f (x)) = x^{2} + x + 1

4 x^{2} - 9 y^{2} - 16 x + 54 y - 101 = 0

What is 4y^2-4x^2-24x+32y=-24 ?
The solution to 4y^2-4x^2-24x+32y=-24 is Hyperbola with (h,k)=(-3,-4),a=1,b=1