1000/x-x=30

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Solution for 1000/x-x=30 equation: 


D( x )

x = 0

x = 0

x = 0

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

1000/x-x = 30 // - 30

1000/x-x-30 = 0

1000*x^-1-1*x^1-30*x^0 = 0

(1000*x^0-1*x^2-30*x^1)/(x^1) = 0 // * x^2

x^1*(1000*x^0-1*x^2-30*x^1) = 0

x^1

1000-x^2-30*x = 0

1000-x^2-30*x = 0

DELTA = (-30)^2-(-1*4*1000)

DELTA = 4900

DELTA > 0

x = (4900^(1/2)+30)/(-1*2) or x = (30-4900^(1/2))/(-1*2)

x = -50 or x = 20

x in { -50, 20} 

x in { -50, 20 }

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