Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

2. If ¡2x+3 = i, where i = V-1, then which of the
following is a solution for x?
(1) x = 16
(3) x = 11
(2) x = 10
(4) x = 14

Sagot :

LammettHash

I assume you mean the equation

[tex]i^{2x+3} = i[/tex]

Since i = √(-1), we have i⁴ = 1 and so i⁵ = i. Then 2x + 3 must be some multiple of 5.

Now just check for which of the given choices that this holds:

x = 16   ⇒   2x + 3 = 35   (yes)

x = 11   ⇒   2x + 3 = 25   (yes)

x = 10   ⇒   2x + 3 = 23   (no)

x = 14   ⇒   2x + 3 = 31   (no)

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.