What is (y^2}{80}-\frac{x^2)/4 =1 ?

The solution to (y^2}{80}-\frac{x^2)/4 =1 is Hyperbola with (h,k)=(0,0),a=4sqrt(5),b=2

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(y^2}{80}-\frac{x^2)/4 =1

\frac{y ^{2}}{80} - \frac{x ^{2}}{4} = 1

(h, k) = (0, 0), a = 45, b = 2

Solution steps

\frac{y ^{2}}{80} - \frac{x ^{2}}{4} = 1

Rewrite

\frac{y ^{2}}{80} - \frac{x ^{2}}{4} = 1

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( 4 5 ) ^{2}} - \frac{( x - 0 ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 45, b = 2

\frac{( y + 6 ) ^{2}}{25} - (x - 2)^{2} = 1

y^{2} \leq x^{2} - 1

7 x^{2} - 7 y^{2} + 5 x - 10 y + 22 = 0

\frac{( y - 4 ) ^{2}}{49} - \frac{( x + 5 ) ^{2}}{16} = 1

\frac{( y + 3 ) ^{2}}{9} - \frac{4 ( x + 2 ) ^{2}}{25} = 1

What is (y^2}{80}-\frac{x^2)/4 =1 ?
The solution to (y^2}{80}-\frac{x^2)/4 =1 is Hyperbola with (h,k)=(0,0),a=4sqrt(5),b=2