What is 9x^2-5y^2+5=0 ?

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

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9x^2-5y^2+5=0

9 x^{2} - 5 y^{2} + 5 = 0

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

Solution steps

9 x^{2} - 5 y^{2} + 5 = 0

Rewrite

9 x^{2} - 5 y^{2} + 5 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

x^{2} - 9 y^{2} - 27 = 0

7 x^{2} - 9 y^{2} - 14 x + 72 y - 200 = 0

(y + 1)^{2} = x^{2} - x

x, x^{2} + 6 x + 34 = h (x)^{2}

\frac{x ^{2}}{4} - \frac{y ^{2}}{49} = 1

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