Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Solve for [tex]$n$[/tex] in the equation [tex]$u = \sqrt{5 - 2n}$[/tex].

Sagot :

GinnyAnswer
To solve for [tex]\( n \)[/tex] in the equation [tex]\( u = \sqrt{5 - 2n} \)[/tex], we can follow these steps:

1. Start with the given equation:
[tex]\[ u = \sqrt{5 - 2n} \][/tex]

2. Square both sides of the equation to eliminate the square root:
[tex]\[ u^2 = 5 - 2n \][/tex]

3. Rearrange the equation to solve for [tex]\( n \)[/tex]:
- First, isolate the term involving [tex]\( n \)[/tex]. Subtract 5 from both sides:
[tex]\[ u^2 - 5 = -2n \][/tex]
- Next, to isolate [tex]\( n \)[/tex], divide both sides by [tex]\(-2\)[/tex]:
[tex]\[ n = \frac{5 - u^2}{2} \][/tex]

Therefore, the solution in terms of [tex]\( u \)[/tex] is:
[tex]\[ n = \frac{5 - u^2}{2} \][/tex]
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. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.