3x+4/6x+5/6-7/x

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Solution for 3x+4/6x+5/6-7/x equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x+(4/6)*x-(7/x)+5/6 = 0

3*x+(4/6)*x-7*x^-1+5/6 = 0

11/3*x^1-7*x^-1+5/6*x^0 = 0

(11/3*x^2+5/6*x^1-7*x^0)/(x^1) = 0 // * x^2

x^1*(11/3*x^2+5/6*x^1-7*x^0) = 0

x^1

(11/3)*x^2+(5/6)*x-7 = 0

(11/3)*x^2+(5/6)*x-7 = 0

DELTA = (5/6)^2-(-7*4*(11/3))

DELTA = 3721/36

DELTA > 0

x = ((3721/36)^(1/2)-(5/6))/(2*(11/3)) or x = (-(5/6)-(3721/36)^(1/2))/(2*(11/3))

x = 14/11 or x = -3/2

x in { -3/2, 14/11} 

x in { -3/2, 14/11 }

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