3i-1/i-3

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Solution for 3i-1/i-3 equation: 


D( i )

i = 0

i = 0

i = 0

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

3*i-(1/i)-3 = 0

3*i-i^-1-3 = 0

3*i^1-1*i^-1-3*i^0 = 0

(3*i^2-3*i^1-1*i^0)/(i^1) = 0 // * i^2

i^1*(3*i^2-3*i^1-1*i^0) = 0

i^1

3*i^2-3*i-1 = 0

3*i^2-3*i-1 = 0

DELTA = (-3)^2-(-1*3*4)

DELTA = 21

DELTA > 0

i = (21^(1/2)+3)/(2*3) or i = (3-21^(1/2))/(2*3)

i = (21^(1/2)+3)/6 or i = (3-21^(1/2))/6

i in { (3-21^(1/2))/6, (21^(1/2)+3)/6} 

i in { (3-21^(1/2))/6, (21^(1/2)+3)/6 }

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