Question

Simplify (10-10i)/(-5i)

Answer 1

Answer:

2 + 2i

Step-by-step explanation:

$i-\text{imaginary\ unit}\\\\i=\sqrt{-1}\to i^2=-1\\\\=====================$

$\dfrac{10-10i}{-5i}=\dfrac{10}{-5i}+\dfrac{-10i}{-5i}=\dfrac{(10)(i)}{(-5i)(i)}+2=\dfrac{10i}{(-5)(i^2)}+2\\\\=\dfrac{10i}{(-5)(-1)}+2=\dfrac{10i}{5}+1=2i+2=2+2i$