3/x+x=28-x

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Solution for 3/x+x=28-x equation: 


D( x )

x = 0

x = 0

x = 0

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

x+3/x = 28-x // - 28-x

x+x+3/x-28 = 0

2*x^1+3*x^-1-28*x^0 = 0

(2*x^2-28*x^1+3*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-28*x^1+3*x^0) = 0

x^1

2*x^2-28*x+3 = 0

2*x^2-28*x+3 = 0

DELTA = (-28)^2-(2*3*4)

DELTA = 760

DELTA > 0

x = (760^(1/2)+28)/(2*2) or x = (28-760^(1/2))/(2*2)

x = (2*190^(1/2)+28)/4 or x = (28-2*190^(1/2))/4

x in { (28-2*190^(1/2))/4, (2*190^(1/2)+28)/4} 

x in { (28-2*190^(1/2))/4, (2*190^(1/2)+28)/4 }

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