What is 25x^2-64y^2+100x-256y-1756=0 ?

The solution to 25x^2-64y^2+100x-256y-1756=0 is Hyperbola with (h,k)=(-2,-2),a=8,b=5

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25x^2-64y^2+100x-256y-1756=0

25 x^{2} - 64 y^{2} + 100 x - 256 y - 1756 = 0

(h, k) = (- 2, - 2), a = 8, b = 5

Solution steps

25 x^{2} - 64 y^{2} + 100 x - 256 y - 1756 = 0

Rewrite

25 x^{2} - 64 y^{2} + 100 x - 256 y - 1756 = 0

in the form of a standard hyperbola equation

\frac{( x - ( - 2 ) ) ^{2}}{8 ^{2}} - \frac{( y - ( - 2 ) ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 2, - 2), a = 8, b = 5

f (x) f (x) = 3 x^{2} - 4 x - 3

- 81 x^{2} + 486 x + 64 y^{2} + 128 y + 4519 = 0

- 2 x^{2} + y^{2} + 20 x + 6 y - 45 = 0

\frac{y ^{2}}{80} - \frac{x ^{2}}{4} = 1

\frac{( y + 6 ) ^{2}}{25} - (x - 2)^{2} = 1

What is 25x^2-64y^2+100x-256y-1756=0 ?
The solution to 25x^2-64y^2+100x-256y-1756=0 is Hyperbola with (h,k)=(-2,-2),a=8,b=5