Question

Get a similar question: Write the result of the expression (-1+3i)/(2i).

Answer 1

To divide complex numbers, we can use the conjugate of the denominator to rationalize the expression.

Step-by-step explanation:

To divide complex numbers, we can use the conjugate of the denominator to rationalize the expression. The conjugate of 2i is -2i, so we multiply the numerator and denominator by -2i:

(-1+3i)(-2i)/(-2i)(2i)

We simplify the expression:

(3+1i)/(-4i^2)

Since i^2 is equal to -1, we can rewrite the expression as:

(3+1i)/(-4)(-1)

Finally, we simplify the expression:

(3+1i)/4 = 3/4 + (1/4)i