What is 5y^2-4x^2-80=0 ?

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

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

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

(h, k) = (0, 0), a = 4, b = 25

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 4, b = 25

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

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

\frac{x ^{2}}{36} - \frac{y ^{2}}{100} = 1

\frac{( x - 5 ) ^{2}}{4} - \frac{( y - 3 ) ^{2}}{4} = 1

x^{2} - 4 y^{2} + 2 x - 16 y + 13 = 0

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