Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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

Sagot :

geerky42
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.
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.