What is 9x^2-25y^2=49 ?

The solution to 9x^2-25y^2=49 is Hyperbola with (h,k)=(0,0),a= 7/3 ,b= 7/5

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9x^2-25y^2=49

9 x^{2} - 25 y^{2} = 49

(h, k) = (0, 0), a = \frac{7}{3}, b = \frac{7}{5}

Solution steps

9 x^{2} - 25 y^{2} = 49

Rewrite

9 x^{2} - 25 y^{2} = 49

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{7}{3} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{7}{5} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{7}{3}, b = \frac{7}{5}

4 x^{2} - 5 y^{2} + 20 = 0

3 x^{2} - 4 y^{2} + y = 9 (2.1)

x^{2} - 4 y^{2} + 2 x - 1 y - 4 = 0

x^{2} + 11 = y^{2} + 6 x - 2 y

4 x^{2} - 8 y^{2} + 6 x + 12 y - 82 = 0

What is 9x^2-25y^2=49 ?
The solution to 9x^2-25y^2=49 is Hyperbola with (h,k)=(0,0),a= 7/3 ,b= 7/5