(600/x)-20x=20

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Solution for (600/x)-20x=20 equation: 


D( x )

x = 0

x = 0

x = 0

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

600/x-(20*x) = 20 // - 20

600/x-(20*x)-20 = 0

600/x-20*x-20 = 0

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

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

x^1*(600*x^0-20*x^2-20*x^1) = 0

x^1

600-20*x^2-20*x = 0

600-20*x^2-20*x = 0

DELTA = (-20)^2-(-20*4*600)

DELTA = 48400

DELTA > 0

x = (48400^(1/2)+20)/(-20*2) or x = (20-48400^(1/2))/(-20*2)

x = -6 or x = 5

x in { -6, 5} 

x in { -6, 5 }

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