What is 16x^2-25y^2=100 ?

The solution to 16x^2-25y^2=100 is Hyperbola with (h,k)=(0,0),a= 5/2 ,b=2

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16x^2-25y^2=100

16 x^{2} - 25 y^{2} = 100

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

Solution steps

16 x^{2} - 25 y^{2} = 100

Rewrite

16 x^{2} - 25 y^{2} = 100

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

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

4 x^{2} - 4 y^{2} - 16 = 0

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

\frac{x ^{2}}{16} - \frac{y ^{2}}{16} = 1

4 x^{2} - y^{2} - 16 = 0

What is 16x^2-25y^2=100 ?
The solution to 16x^2-25y^2=100 is Hyperbola with (h,k)=(0,0),a= 5/2 ,b=2