What is 9x^2-100y^2=25 ?

The solution to 9x^2-100y^2=25 is Hyperbola with (h,k)=(0,0),a= 5/3 ,b= 1/2

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9x^2-100y^2=25

9 x^{2} - 100 y^{2} = 25

(h, k) = (0, 0), a = \frac{5}{3}, b = \frac{1}{2}

Solution steps

9 x^{2} - 100 y^{2} = 25

Rewrite

9 x^{2} - 100 y^{2} = 25

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{5}{3}, b = \frac{1}{2}

4 x^{2} - 49 y^{2} - 24 x + 882 y - 4129 = 0

\frac{- y ^{2}}{4} + \frac{z ^{2}}{4} = 1 - \frac{5}{4}

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

m, x (x + 17) < 60 m (x)^{2}

x^{2} - 4 y^{2} + 2 x + 11 y - 7 = 0

What is 9x^2-100y^2=25 ?
The solution to 9x^2-100y^2=25 is Hyperbola with (h,k)=(0,0),a= 5/3 ,b= 1/2