Question

Simplify 4 divided by -2 -2i

Answer 1

He's right, the answer is -1+i

Answer 2

-1+i

Explanation:

We multiply by the complex conjugate (a+bi) has a complex conjugate a-bi

Remember that i^2 = -1

4 -2+2i

--------- * -----------

-2-2i -2 +2i

4 * (-2+2i ) = -8 +8i

(-2-2i) * (-2+2i ) = 4 -4i + 4i -4i^2 = 4 -4(-1) = 4+4 = 8

Replacing this into the fraction

-8+8i

-----------

8

Factor out and 8

8(-1+i)

-----------

8

Cancel

-1+i