16=3x-2/x-5

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Solution for 16=3x-2/x-5 equation:


D( x )

x = 0

x = 0

x = 0

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

16 = 3*x-(2/x)-5 // - 3*x-(2/x)-5

2/x-(3*x)+5+16 = 0

2/x-3*x+5+16 = 0

2*x^-1-3*x^1+21*x^0 = 0

(21*x^1-3*x^2+2*x^0)/(x^1) = 0 // * x^2

x^1*(21*x^1-3*x^2+2*x^0) = 0

x^1

21*x-3*x^2+2 = 0

21*x-3*x^2+2 = 0

DELTA = 21^2-(-3*2*4)

DELTA = 465

DELTA > 0

x = (465^(1/2)-21)/(-3*2) or x = (-465^(1/2)-21)/(-3*2)

x = (465^(1/2)-21)/(-6) or x = (465^(1/2)+21)/6

x in { (465^(1/2)-21)/(-6), (465^(1/2)+21)/6}

x in { (465^(1/2)-21)/(-6), (465^(1/2)+21)/6 }

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