What is 16x^2-9y^2=1 ?

The solution to 16x^2-9y^2=1 is Hyperbola with (h,k)=(0,0),a= 1/4 ,b= 1/3

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16x^2-9y^2=1

16 x^{2} - 9 y^{2} = 1

(h, k) = (0, 0), a = \frac{1}{4}, b = \frac{1}{3}

Solution steps

16 x^{2} - 9 y^{2} = 1

Rewrite

16 x^{2} - 9 y^{2} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{1}{4} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{1}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1}{4}, b = \frac{1}{3}

x^{2} - y^{2} - 6 x = 7

y^{2} = 4 + x^{2}

\frac{( x + 1 ) ^{2}}{9} - \frac{( y - 4 ) ^{2}}{49} = 1

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

\frac{( x - 2 ) ^{2}}{81} - \frac{y ^{2}}{49} = 1

What is 16x^2-9y^2=1 ?
The solution to 16x^2-9y^2=1 is Hyperbola with (h,k)=(0,0),a= 1/4 ,b= 1/3