5/x=11-2x

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Solution for 5/x=11-2x equation: 


D( x )

x = 0

x = 0

x = 0

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

5/x = 11-(2*x) // - 11-(2*x)

2*x+5/x-11 = 0

2*x^1+5*x^-1-11*x^0 = 0

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

x^1*(2*x^2-11*x^1+5*x^0) = 0

x^1

2*x^2-11*x+5 = 0

2*x^2-11*x+5 = 0

DELTA = (-11)^2-(2*4*5)

DELTA = 81

DELTA > 0

x = (81^(1/2)+11)/(2*2) or x = (11-81^(1/2))/(2*2)

x = 5 or x = 1/2

x in { 1/2, 5} 

x in { 1/2, 5 }

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