What is 5x^2-y^2=20 ?

The solution to 5x^2-y^2=20 is Hyperbola with (h,k)=(0,0),a=2,b=2sqrt(5)

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5x^2-y^2=20

5 x^{2} - y^{2} = 20

(h, k) = (0, 0), a = 2, b = 25

Solution steps

5 x^{2} - y^{2} = 20

Rewrite

5 x^{2} - y^{2} = 20

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 25

(y - 3)^{2} - 9 (x - 3)^{2} = 9

x^{2} - y^{2} + 6 x = 19

x^{2} - y^{2} + 6 x = 11

\frac{( x - 0 ) ^{2}}{4} - \frac{( y - ( - 1 ) ) ^{2}}{16} = 1

\frac{y ^{2}}{2} + 3 y = \frac{x ^{2}}{2}

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