Question

Simplify -8+6i/4-2i​

Answer 1

−11

5

+

2

5

i

Explanation:

Answer 2

-1.1+0.4i

Explanation:

Multiply the numerator and the denominator by
`4+2i:`

`(-8+6i)/(4-2i)\cdot (4+2i)/(4+2i)=(-32-16i+24i+12i^2)/(4^2-(2i)^2)\ \ [\text{use formula }a^2-b^2=(a-b)(a+b)]\\ \\=(-32+8i-12)/(16-4i^2)\ \ [\text{remember }i^2=-1]\\ \\=(-44+8i)/(16+4)\\ \\=(-44+8i)/(20)\\ \\=-(11)/(10)+(4)/(10)i\\ \\=-1.1+0.4i`