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katrin [286]
3 years ago
14

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

Mathematics
1 answer:
inna [77]3 years ago
3 0

Answer:

d. \displaystyle 6

Step-by-step explanation:

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

Therefore, the d-value is 6.

<u>Extended</u><u> </u><u>Information</u><u> </u><u>on</u><u> </u><u>the</u><u> </u><u>Complex</u><u> </u><u>Number</u><u> </u><u>System</u>

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

I am joyous to assist you anytime.

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