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Home / Substitute the given values \( a + b = 4 + 2i \) and \( ab = 5 + 3i \):

Substitute the given values \( a + b = 4 + 2i \) and \( ab = 5 + 3i \):

February 22, 2026

$Substitute the given values \( a + b = 4 + 2i \) and \( ab = 5 + 3i \):$

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We start with the identity for the square of a sum:
Rearranging gives:
a^2 + b^2 = (a + b)^2 - 2ab
a^2 + b^2 = (4 + 2i)^2 - 2(5 + 3i)
First, compute \( (4 + 2i)^2 \):
Now compute \( 2(5 + 3i) = 10 + 6i \).

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