What is 144x^2-25y^2=169 ?

The solution to 144x^2-25y^2=169 is Hyperbola with (h,k)=(0,0),a= 13/12 ,b= 13/5

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144x^2-25y^2=169

144 x^{2} - 25 y^{2} = 169

(h, k) = (0, 0), a = \frac{13}{12}, b = \frac{13}{5}

Solution steps

144 x^{2} - 25 y^{2} = 169

Rewrite

144 x^{2} - 25 y^{2} = 169

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{13}{12} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{13}{5} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{13}{12}, b = \frac{13}{5}

3 x^{2} - 4 y^{2} + 16 y - 18 = 0

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

\frac{x ^{2}}{4} - \frac{y ^{2}}{21} = 1

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

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

What is 144x^2-25y^2=169 ?
The solution to 144x^2-25y^2=169 is Hyperbola with (h,k)=(0,0),a= 13/12 ,b= 13/5