x*20=80/x

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Solution for x*20=80/x equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

20*x = 80/x // - 80/x

20*x-(80/x) = 0

20*x-80*x^-1 = 0

20*x^1-80*x^-1 = 0

(20*x^2-80*x^0)/(x^1) = 0 // * x^2

x^1*(20*x^2-80*x^0) = 0

x^1

20*x^2-80 = 0

20*x^2-80 = 0

DELTA = 0^2-(-80*4*20)

DELTA = 6400

DELTA > 0

x = (6400^(1/2)+0)/(2*20) or x = (0-6400^(1/2))/(2*20)

x = 2 or x = -2

x in { -2, 2} 

x in { -2, 2 }

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