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]
