Solve for z, and give your answer in the form a + bi

1 answer:

5 0

The answer is z = 3 + i

z = a + bi
conj(z) = a - bi

conj(7 + 3i) = 7 - 3i

<span>(conj)z + 2z = 2 + 4i + conj(7 + 3i)
</span>a - bi + 2(a + bi) =<span> 2 + 4i + 7 - 3i
</span>a - bi + 2a + 2bi =<span> 2 + 4i + 7 - 3i
</span>3a + bi = 9 + i

From here:
3a = 9 and bi = i
a = 9/3 b = i/i
a = 3 b = 1

z = a + bi
z = 3 + 1 * i
z = 3 + i

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