Multiplying with a Complex number, using only the imaginary part

Christoffer shared this question 3 years ago
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I have a number I need to multiply with a changing complex number, using only the imaginary number.

Say I have a number 25, and a complex number of 20+5i. I need a formula that would in this case multiply 25 with 5, giving me a value of 125. The complex number is a changing one, so I need something that does this accurately and not a cheap cheat.

Also, having the formula for the use of real numbers instead would be useful too for me in the future.

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imaginary( 20+5i )

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imaginary( 20+5i )

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