Question

Simplify -8+6i/4-2i​

Answer 1

Answer:

−11

5

+

2

5

i

Step-by-step explanation:

Answer 2

Answer:

-1.1+0.4i

Step-by-step explanation:

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

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