What is 5y^2-9x^2=45 ?

The solution to 5y^2-9x^2=45 is Hyperbola with (h,k)=(0,0),a=3,b=sqrt(5)

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5y^2-9x^2=45

5 y^{2} - 9 x^{2} = 45

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

Solution steps

5 y^{2} - 9 x^{2} = 45

Rewrite

5 y^{2} - 9 x^{2} = 45

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

x^{2} - 4 y^{2} - 16 y > 1

25 x^{2} - 4 y^{2} + 40 y = 0

5 y^{2} - 4 x^{2} - 80 = 0

(u - 7)^{2} = 2 y^{2} - 18 y + 28

2 (x^{2} - 10 x) - 9 (y^{2} - 8 y) = - 16

What is 5y^2-9x^2=45 ?
The solution to 5y^2-9x^2=45 is Hyperbola with (h,k)=(0,0),a=3,b=sqrt(5)