6=11/x-8/2x

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Solution for 6=11/x-8/2x equation: 


D( x )

x = 0

x = 0

x = 0

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

6 = 11/x-((8/2)*x) // - 11/x-((8/2)*x)

(8/2)*x-(11/x)+6 = 0

(8/2)*x-11*x^-1+6 = 0

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

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

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

x^1

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

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

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

DELTA = 212

DELTA > 0

x = (212^(1/2)-6)/(2*4) or x = (-212^(1/2)-6)/(2*4)

x = (2*53^(1/2)-6)/8 or x = (-2*53^(1/2)-6)/8

x in { (-2*53^(1/2)-6)/8, (2*53^(1/2)-6)/8} 

x in { (-2*53^(1/2)-6)/8, (2*53^(1/2)-6)/8 }

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