What is 16x^2-25y^2-400=0 ?

The solution to 16x^2-25y^2-400=0 is Hyperbola with (h,k)=(0,0),a=5,b=4

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16x^2-25y^2-400=0

16 x^{2} - 25 y^{2} - 400 = 0

(h, k) = (0, 0), a = 5, b = 4

Solution steps

16 x^{2} - 25 y^{2} - 400 = 0

Rewrite

16 x^{2} - 25 y^{2} - 400 = 0

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{5 ^{2}} - \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 4

x^{2} - 25 y^{2} - 14 x + 100 y - 76 = 0

- x^{2} + 4 y^{2} - 1 = 0

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

x^{2} - y^{2} - 2 x + 4 y - 4 = 0

(x - y - 3) \cdot (x + y + 3) = 16

What is 16x^2-25y^2-400=0 ?
The solution to 16x^2-25y^2-400=0 is Hyperbola with (h,k)=(0,0),a=5,b=4