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If (2 +3i)^2 + (2 - 3i)^2 = a + bia =b=

If (2 +3i)^2 + (2 - 3i)^2 = a + bia =b=-example-1

1 Answer

4 votes

(2 + 3i)^2 = 4 + 12i + 9(-1)

= 4 + 12i - 9

= -5 + 12i

(2 - 3i)^2 = 4 - 12i - 9(-1)

= 4 - 12i + 9

= 13 - 12i

REsult

= -5 + 12i + 13 - 12i

= 8 - 0i

Then

a = 8 and b = 0

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