Question

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

Answer 1

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)`