3x-2=4/x-1

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Solution for 3x-2=4/x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-2 = 4/x-1 // - 4/x-1

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

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

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

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

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

x^1

3*x^2-x-4 = 0

3*x^2-x-4 = 0

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

DELTA = 49

DELTA > 0

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

x = 4/3 or x = -1

x in { -1, 4/3} 

x in { -1, 4/3 }

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