What is 25x^2-49y^2-100x+294y+884=0 ?

The solution to 25x^2-49y^2-100x+294y+884=0 is Hyperbola with (h,k)=(2,3),a=5,b=7

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25x^2-49y^2-100x+294y+884=0

25 x^{2} - 49 y^{2} - 100 x + 294 y + 884 = 0

(h, k) = (2, 3), a = 5, b = 7

Solution steps

25 x^{2} - 49 y^{2} - 100 x + 294 y + 884 = 0

Rewrite

25 x^{2} - 49 y^{2} - 100 x + 294 y + 884 = 0

in the form of a standard hyperbola equation

\frac{( y - 3 ) ^{2}}{5 ^{2}} - \frac{( x - 2 ) ^{2}}{7 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, 3), a = 5, b = 7

x^{2} - 2 x - y^{2} - 6 y + 9 = 0

\frac{y ^{2}}{36} - \frac{x ^{2}}{64} = 1

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

\frac{x ^{2}}{4} - \frac{y ^{2}}{36} = 1

x^{2} + 2 y + x = 2 y^{2} + 3 y + 2 x + 2

What is 25x^2-49y^2-100x+294y+884=0 ?
The solution to 25x^2-49y^2-100x+294y+884=0 is Hyperbola with (h,k)=(2,3),a=5,b=7