retilez21
retilez21 retilez21
  • 20-12-2019
  • Mathematics
contestada

(3+i)^2 = c+di, find the value of d.

a. 1
b. 2
c. 4
d. 6
(please show work)

Respuesta :

BasketballEinstein
BasketballEinstein BasketballEinstein
  • 29-12-2019

Answer:

d. [tex]\displaystyle 6[/tex]

Step-by-step explanation:

[tex]\displaystyle [3 + i]^2 = [3 + i][3 + i] = 9 + 6i + i^2 → 9 + 6i - 1 → 6i + 8[/tex]

Therefore, the d-value is 6.

Extended Information on the Complex Number System

[tex]\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\:[every\:multiple\:of\:4][/tex]

I am joyous to assist you anytime.

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