What is -16x^2+25y^2-32x+100y=316 ?

The solution to -16x^2+25y^2-32x+100y=316 is Hyperbola with (h,k)=(-1,-2),a=4,b=5

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-16x^2+25y^2-32x+100y=316

- 16 x^{2} + 25 y^{2} - 32 x + 100 y = 316

(h, k) = (- 1, - 2), a = 4, b = 5

Solution steps

- 16 x^{2} + 25 y^{2} - 32 x + 100 y = 316

Rewrite

- 16 x^{2} + 25 y^{2} - 32 x + 100 y = 316

in the form of a standard hyperbola equation

\frac{( y - ( - 2 ) ) ^{2}}{4 ^{2}} - \frac{( x - ( - 1 ) ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 1, - 2), a = 4, b = 5

y^{2} - z^{2} = 4

A^{2} - B^{2} = 280

\frac{8 ( x + 7 ) ^{2} - 12 ( y - 5 ) ^{2}}{96} = 1

\frac{x ^{2}}{180} - \frac{( y + 1 ) ^{2}}{100} = 1

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

What is -16x^2+25y^2-32x+100y=316 ?
The solution to -16x^2+25y^2-32x+100y=316 is Hyperbola with (h,k)=(-1,-2),a=4,b=5