20/x=5x

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Solution for 20/x=5x equation: 


D( x )

x = 0

x = 0

x = 0

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

20/x = 5*x // - 5*x

20/x-(5*x) = 0

20/x-5*x = 0

20*x^-1-5*x^1 = 0

(20*x^0-5*x^2)/(x^1) = 0 // * x^2

x^1*(20*x^0-5*x^2) = 0

x^1

20-5*x^2 = 0

20-5*x^2 = 0

DELTA = 0^2-(-5*4*20)

DELTA = 400

DELTA > 0

x = (400^(1/2)+0)/(-5*2) or x = (0-400^(1/2))/(-5*2)

x = -2 or x = 2

x in { -2, 2} 

x in { -2, 2 }

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