Answered

From beginner to expert, IDNLearn.com has answers for everyone. Ask any question and receive timely, accurate responses from our dedicated community of experts.

simplyfy (-3-9i)/(5-8i)

Sagot :

Geerky42idn
To simplify something like that, you just multiply numerator and denominator by conjugate of denominator.

Our denominator is 5-8i, so our conjugate of denominator would be 5+8i.

[ (-3-9i)(5+8i) ] / [ (5-8i)(5+8i) ]

Now we can simplify from here;

[ -15 - 45i - 24i - 72i^2 ] / [ 25 - 64i^2 ]

[ -15 - 45i - 24i + 72 ] / [ 25 + 64 ]

[  57 - 69i  ] / [ 89 ]

Answer: (57 - 69i) / 89

Hope this helps.
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.