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ira
15 days ago
6

Find the missing term. () + (7 − 3i) + (5 + 9i) + 13i = 10 − 5i.

Mathematics
2 answers:
PIT_PIT [12.4K]15 days ago
5 0
X + (7 - 3i) + (5 + 9i) + 13i = 10 - 5i

Subtract 13i from both sides

x + (7 -3i) + (5 + 9i) = 10 - 18i

We then need to subtract (5 + 9i). MAKE SURE TO also subtract 9i. So distribute the negative and subtract both 5 and 9i simultaneously.

x + (7 - 3i) = 5 - 27i

Next, do the same with (7 - 3i). You will be adding 3i since -(-3i) equals 3i.

x = -2 - 24i
Svet_ta [12.7K]15 days ago
3 0

Response:

the missing term is (-2-24i)

Detailed explanation:

Let

(x+yi)------> the missing term

we have

(x+yi)+(7-3i)+(5+9i)+13i=10-5i

Combine similar terms on the left side

(x+7+5)+(yi-3i+9i+13i)=10-5i

(x+12)+(yi+19i)=10-5i

Solve the equations system

x+12=10 ------> equation A

x=10-12=-2

yi+19i=-5i ------> equation B

yi=-5i-19i=-24i

the missing term is (-2-24i)

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