What is 64y^2-25x^2=1600 ?

The solution to 64y^2-25x^2=1600 is Hyperbola with (h,k)=(0,0),a=5,b=8

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64y^2-25x^2=1600

64 y^{2} - 25 x^{2} = 1600

(h, k) = (0, 0), a = 5, b = 8

Solution steps

64 y^{2} - 25 x^{2} = 1600

Rewrite

64 y^{2} - 25 x^{2} = 1600

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{5 ^{2}} - \frac{( x - 0 ) ^{2}}{8 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 8

- x^{2} - 8 x + y^{2} + 6 y - 23 = 0

4 x^{2} - y^{2} - 24 x - 8 y - 44 = 0

- 40 a^{2} + 28 b^{2} - 256 = 0

\frac{( x + 3 ) ^{2}}{4} - \frac{( y - 1 ) ^{2}}{16} = 1

x^{2} - y^{2} = 6

What is 64y^2-25x^2=1600 ?
The solution to 64y^2-25x^2=1600 is Hyperbola with (h,k)=(0,0),a=5,b=8