4/x=3x-1

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Solution for 4/x=3x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x = 3*x-1 // - 3*x-1

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

4/x-3*x+1 = 0

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

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

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

x^1

x-3*x^2+4 = 0

x-3*x^2+4 = 0

DELTA = 1^2-(-3*4*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-1)/(-3*2) or x = (-49^(1/2)-1)/(-3*2)

x = -1 or x = 4/3

x in { -1, 4/3} 

x in { -1, 4/3 }

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