What is 25x^2-16y^2+50x+128y-631=0 ?

The solution to 25x^2-16y^2+50x+128y-631=0 is Hyperbola with (h,k)=(-1,4),a=4,b=5

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25x^2-16y^2+50x+128y-631=0

25 x^{2} - 16 y^{2} + 50 x + 128 y - 631 = 0

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

Solution steps

25 x^{2} - 16 y^{2} + 50 x + 128 y - 631 = 0

Rewrite

25 x^{2} - 16 y^{2} + 50 x + 128 y - 631 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

4 x^{2} - 4 y^{2} = 16

2 x^{2} - 3 y^{2} = 30

\frac{20}{x + y} + \frac{12}{x - y} = 5

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

(x + i y)^{2} + (x - i y)^{2} = 2

What is 25x^2-16y^2+50x+128y-631=0 ?
The solution to 25x^2-16y^2+50x+128y-631=0 is Hyperbola with (h,k)=(-1,4),a=4,b=5