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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
100 = 2*x+200/x // - 2*x+200/x
100-(2*x)-(200/x) = 0
100-2*x-200*x^-1 = 0
100*x^0-2*x^1-200*x^-1 = 0
(100*x^1-2*x^2-200*x^0)/(x^1) = 0 // * x^2
x^1*(100*x^1-2*x^2-200*x^0) = 0
x^1
100*x-2*x^2-200 = 0
100*x-2*x^2-200 = 0
DELTA = 100^2-(-200*(-2)*4)
DELTA = 8400
DELTA > 0
x = (8400^(1/2)-100)/(-2*2) or x = (-8400^(1/2)-100)/(-2*2)
x = (20*21^(1/2)-100)/(-4) or x = (-20*21^(1/2)-100)/(-4)
x in { (20*21^(1/2)-100)/(-4), (-20*21^(1/2)-100)/(-4)}
x in { (20*21^(1/2)-100)/(-4), (-20*21^(1/2)-100)/(-4) }
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