4=3x-14/x

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Solution for 4=3x-14/x equation:


D( x )

x = 0

x = 0

x = 0

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

4 = 3*x-(14/x) // - 3*x-(14/x)

14/x-(3*x)+4 = 0

14/x-3*x+4 = 0

14*x^-1-3*x^1+4*x^0 = 0

(4*x^1-3*x^2+14*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^1-3*x^2+14*x^0) = 0

x^1

4*x-3*x^2+14 = 0

4*x-3*x^2+14 = 0

DELTA = 4^2-(-3*4*14)

DELTA = 184

DELTA > 0

x = (184^(1/2)-4)/(-3*2) or x = (-184^(1/2)-4)/(-3*2)

x = (2*46^(1/2)-4)/(-6) or x = (-2*46^(1/2)-4)/(-6)

x in { (2*46^(1/2)-4)/(-6), (-2*46^(1/2)-4)/(-6)}

x in { (2*46^(1/2)-4)/(-6), (-2*46^(1/2)-4)/(-6) }

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