What is 4x^2-25y^2=16 ?

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

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4x^2-25y^2=16

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

(h, k) = (0, 0), a = 2, b = \frac{4}{5}

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = \frac{4}{5}

(x + 1)^{2} - (y + 1)^{2} = 2193

\frac{x ^{2}}{25} - \frac{( y - 3 ) ^{2}}{4} = 1

y^{2} - 324 x^{2} = - 36

\frac{( y ^{2} )}{27} - \frac{( x ^{2} )}{0} = 1

(x - 3)^{2} - \frac{y ^{2}}{9} = 1

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