What is (y^2}{20}-\frac{x^2)/1 =1 ?

The solution to (y^2}{20}-\frac{x^2)/1 =1 is Hyperbola with (h,k)=(0,0),a=2sqrt(5),b=1

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(y^2}{20}-\frac{x^2)/1 =1

\frac{y ^{2}}{20} - \frac{x ^{2}}{1} = 1

(h, k) = (0, 0), a = 25, b = 1

Solution steps

\frac{y ^{2}}{20} - \frac{x ^{2}}{1} = 1

Rewrite

\frac{y ^{2}}{20} - \frac{x ^{2}}{1} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 25, b = 1

\frac{( y - 5 ) ^{2}}{16} - (x - 2)^{2} = 1

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

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

What is (y^2}{20}-\frac{x^2)/1 =1 ?
The solution to (y^2}{20}-\frac{x^2)/1 =1 is Hyperbola with (h,k)=(0,0),a=2sqrt(5),b=1