2x+(1000/x)=x+100

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Solution for 2x+(1000/x)=x+100 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x+1000/x = x+100 // - x+100

2*x-x+1000/x-100 = 0

1*x^1+1000*x^-1-100*x^0 = 0

(1*x^2-100*x^1+1000*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-100*x^1+1000*x^0) = 0

x^1

x^2-100*x+1000 = 0

x^2-100*x+1000 = 0

DELTA = (-100)^2-(1*4*1000)

DELTA = 6000

DELTA > 0

x = (6000^(1/2)+100)/(1*2) or x = (100-6000^(1/2))/(1*2)

x = (20*15^(1/2)+100)/2 or x = (100-20*15^(1/2))/2

x in { (100-20*15^(1/2))/2, (20*15^(1/2)+100)/2} 

x in { (100-20*15^(1/2))/2, (20*15^(1/2)+100)/2 }

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