What is 25x^2-16y^2=1 ?

The solution to 25x^2-16y^2=1 is Hyperbola with (h,k)=(0,0),a= 1/5 ,b= 1/4

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25x^2-16y^2=1

25 x^{2} - 16 y^{2} = 1

(h, k) = (0, 0), a = \frac{1}{5}, b = \frac{1}{4}

Solution steps

25 x^{2} - 16 y^{2} = 1

Rewrite

25 x^{2} - 16 y^{2} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1}{5}, b = \frac{1}{4}

\frac{( x - 3 ) ^{2}}{6} - \frac{( y - 2 ) ^{2}}{2} = 1

(\frac{x + 1}{9})^{2} - (\frac{y - 3}{16})^{2} = 1

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

x^{2} - y^{2} - 8 x + 10 = 0

8 x^{2} - 2 y^{2} - 12 = 0

What is 25x^2-16y^2=1 ?
The solution to 25x^2-16y^2=1 is Hyperbola with (h,k)=(0,0),a= 1/5 ,b= 1/4