What is 25x^2-9y^2=225 ?

The solution to 25x^2-9y^2=225 is Hyperbola with (h,k)=(0,0),a=3,b=5

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25x^2-9y^2=225

25 x^{2} - 9 y^{2} = 225

(h, k) = (0, 0), a = 3, b = 5

Solution steps

25 x^{2} - 9 y^{2} = 225

Rewrite

25 x^{2} - 9 y^{2} = 225

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} - \frac{( y - 0 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = 5

\frac{x ^{2}}{4} + \frac{y ^{2}}{25} = 1

f (x) = x^{2} + 4 x + 4

x = 4 y^{2}

9 x^{2} + 4 y^{2} = 36

f (x) = x^{2} - x - 6

What is 25x^2-9y^2=225 ?
The solution to 25x^2-9y^2=225 is Hyperbola with (h,k)=(0,0),a=3,b=5