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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

y + y^{2} = x^{2} + 4

y + y^{2} = x^{2} + 6

x^{2} - y^{2} = x - y + 2018

\frac{( x - 1 ) ^{2}}{64} - \frac{( y - 7 ) ^{2}}{64} = 1

64 Y^{2} - 25 X^{2} = 1600

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