6/x=11-4x

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Solution for 6/x=11-4x equation: 


D( x )

x = 0

x = 0

x = 0

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

6/x = 11-(4*x) // - 11-(4*x)

4*x+6/x-11 = 0

4*x^1+6*x^-1-11*x^0 = 0

(4*x^2-11*x^1+6*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-11*x^1+6*x^0) = 0

x^1

4*x^2-11*x+6 = 0

4*x^2-11*x+6 = 0

DELTA = (-11)^2-(4*4*6)

DELTA = 25

DELTA > 0

x = (25^(1/2)+11)/(2*4) or x = (11-25^(1/2))/(2*4)

x = 2 or x = 3/4

x in { 3/4, 2} 

x in { 3/4, 2 }

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