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

\frac{( y - 4 ) ^{2}}{25} - \frac{( x + 6 ) ^{2}}{9} = 1

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

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

- x^{2} + y^{2} = 12

\frac{x ^{2}}{8} - \frac{y ^{2}}{4} = 1

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