2x-(1008/x)=6

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Solution for 2x-(1008/x)=6 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(1008/x) = 6 // - 6

2*x-(1008/x)-6 = 0

2*x-1008*x^-1-6 = 0

2*x^1-1008*x^-1-6*x^0 = 0

(2*x^2-6*x^1-1008*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-6*x^1-1008*x^0) = 0

x^1

2*x^2-6*x-1008 = 0

2*x^2-6*x-1008 = 0

DELTA = (-6)^2-(-1008*2*4)

DELTA = 8100

DELTA > 0

x = (8100^(1/2)+6)/(2*2) or x = (6-8100^(1/2))/(2*2)

x = 24 or x = -21

x in { -21, 24} 

x in { -21, 24 }

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