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

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

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16x^2-25y^2=400

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

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

Solution steps

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

Rewrite

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

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

\frac{y ^{2}}{25} - \frac{x ^{2}}{4} = 1

\frac{x ^{2}}{144} - \frac{y ^{2}}{81} = 1

y^{2} = x^{2} + 1

4 y^{2} - 9 x^{2} = 36

49 x^{2} - 25 y^{2} - 686 x - 50 y + 2375 = 0

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