Write the quotient in the form a+bi. (4+2i)/(i)

asked Jul 9, 2024 24.6k views

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4 votes

Hello,

$(4 + 2i)/(i) = \frac{i(4 + 2i)}{i {}^(2) } = \frac{4i + 2i {}^(2) }{ {i}^(2) }$

Or we know : i² = -1 so

$\frac{4i + 2i {}^(2) }{ {i}^(2) } = (4i - 2)/( - 1) = - 4i + 2 = 2 + ( - 4i)$

Spacemigas answered Jul 15, 2024

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