What is 4x^2-3y^2+32x-18y=-25 ?

The solution to 4x^2-3y^2+32x-18y=-25 is Hyperbola with (h,k)=(-4,-3),a=sqrt(3),b=2

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4x^2-3y^2+32x-18y=-25

4 x^{2} - 3 y^{2} + 32 x - 18 y = - 25

(h, k) = (- 4, - 3), a = 3, b = 2

Solution steps

4 x^{2} - 3 y^{2} + 32 x - 18 y = - 25

Rewrite

4 x^{2} - 3 y^{2} + 32 x - 18 y = - 25

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 4, - 3), a = 3, b = 2

4 x^{2} - z^{2} = 1

\frac{( y + 2 ) ^{2}}{25} - \frac{( x - 10 ) ^{2}}{36} = 1

\frac{( y - 3 ) ^{2}}{16} - \frac{( x + 4 ) ^{2}}{9} = 1

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

(\frac{x - 8}{3})^{2} - (\frac{y + 3}{4})^{2} = 1

What is 4x^2-3y^2+32x-18y=-25 ?
The solution to 4x^2-3y^2+32x-18y=-25 is Hyperbola with (h,k)=(-4,-3),a=sqrt(3),b=2