2/x+x+x=180

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Solution for 2/x+x+x=180 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+x+2/x = 180 // - 180

x+x+2/x-180 = 0

2*x^1+2*x^-1-180*x^0 = 0

(2*x^2-180*x^1+2*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-180*x^1+2*x^0) = 0

x^1

2*x^2-180*x+2 = 0

2*x^2-180*x+2 = 0

DELTA = (-180)^2-(2*2*4)

DELTA = 32384

DELTA > 0

x = (32384^(1/2)+180)/(2*2) or x = (180-32384^(1/2))/(2*2)

x = (8*506^(1/2)+180)/4 or x = (180-8*506^(1/2))/4

x in { (180-8*506^(1/2))/4, (8*506^(1/2)+180)/4} 

x in { (180-8*506^(1/2))/4, (8*506^(1/2)+180)/4 }

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