What is 144y^{(2)}-25x^{(2)}=3600 ?

The solution to 144y^{(2)}-25x^{(2)}=3600 is Hyperbola with (h,k)=(0,0),a=5,b=12

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144y^{(2)}-25x^{(2)}=3600

144 y^{(2)} - 25 x^{(2)} = 3600

(h, k) = (0, 0), a = 5, b = 12

Solution steps

144 y^{2} - 25 x^{2} = 3600

Rewrite

144 y^{2} - 25 x^{2} = 3600

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 12

16 y^{2} - 25 x^{2} = 1600

x, m (x)^{2} + 8 m (x) + 16 = 1 + x^{2}

(x - 5) (x - 1) = yy

\frac{( y + 3 ) ^{2}}{16} - \frac{( x + 4 ) ^{2}}{9} = 1

9 x^{2} - 16 y^{2} + 36 x + 96 y - 252 = 0

What is 144y^{(2)}-25x^{(2)}=3600 ?
The solution to 144y^{(2)}-25x^{(2)}=3600 is Hyperbola with (h,k)=(0,0),a=5,b=12