(8-3i)^2/4-4i

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Solution for (8-3i)^2/4-4i equation: 


i in (-oo:+oo)

((8-(3*i))^2)/4-(4*i) = 0

((8-3*i)^2)/4-4*i = 0

((8-3*i)^2)/4+(-4*4*i)/4 = 0

(8-3*i)^2-4*4*i = 0

9*i^2-64*i+64 = 0

9*i^2-64*i+64 = 0

9*i^2-64*i+64 = 0

DELTA = (-64)^2-(4*9*64)

DELTA = 1792

DELTA > 0

i = (1792^(1/2)+64)/(2*9) or i = (64-1792^(1/2))/(2*9)

i = (16*7^(1/2)+64)/18 or i = (64-16*7^(1/2))/18

(i-((64-16*7^(1/2))/18))*(i-((16*7^(1/2)+64)/18)) = 0

((i-((64-16*7^(1/2))/18))*(i-((16*7^(1/2)+64)/18)))/4 = 0

((i-((64-16*7^(1/2))/18))*(i-((16*7^(1/2)+64)/18)))/4 = 0 // * 4

(i-((64-16*7^(1/2))/18))*(i-((16*7^(1/2)+64)/18)) = 0

( i-((16*7^(1/2)+64)/18) )

i-((16*7^(1/2)+64)/18) = 0 // + (16*7^(1/2)+64)/18

i = (16*7^(1/2)+64)/18

( i-((64-16*7^(1/2))/18) )

i-((64-16*7^(1/2))/18) = 0 // + (64-16*7^(1/2))/18

i = (64-16*7^(1/2))/18

i in { (16*7^(1/2)+64)/18, (64-16*7^(1/2))/18 }

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