6x-3/x-7

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Solution for 6x-3/x-7 equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x-(3/x)-7 = 0

6*x-3*x^-1-7 = 0

6*x^1-3*x^-1-7*x^0 = 0

(6*x^2-7*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-7*x^1-3*x^0) = 0

x^1

6*x^2-7*x-3 = 0

6*x^2-7*x-3 = 0

DELTA = (-7)^2-(-3*4*6)

DELTA = 121

DELTA > 0

x = (121^(1/2)+7)/(2*6) or x = (7-121^(1/2))/(2*6)

x = 3/2 or x = -1/3

x in { -1/3, 3/2} 

x in { -1/3, 3/2 }

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