Certainly! Let's break down the steps involved in solving for [tex]\( u \)[/tex] given the equation:
[tex]\[ u = \sqrt{5 - 2n} \][/tex]
### Step-by-Step Solution:
1. Identify the Equation:
We start with the given equation:
[tex]\[ u = \sqrt{5 - 2n} \][/tex]
2. Understand the Components:
- [tex]\( u \)[/tex] is the quantity we are solving for.
- [tex]\( \sqrt{\,}\)[/tex] denotes the square root function.
- [tex]\( 5 - 2n \)[/tex] is the expression inside the square root.
3. Define Variables:
- [tex]\( n \)[/tex] is a variable that can take different numerical values.
- [tex]\( 5 \)[/tex] and [tex]\( 2 \)[/tex] are constants in this case.
4. Substitute [tex]\( n \)[/tex] into the Expression:
To calculate [tex]\( u \)[/tex], you need to substitute a specific value for [tex]\( n \)[/tex] into the expression [tex]\( \sqrt{5 - 2n} \)[/tex]. Without a specific [tex]\( n \)[/tex] provided, we keep it generalized.
5. Simplify the Expression:
[tex]\[ u = \sqrt{5 - 2n} \][/tex]
6. Interpret the Expression:
- The square root symbol indicates that you are taking the square root of the quantity inside.
- The quantity inside, [tex]\( 5 - 2n \)[/tex], needs to be calculated first for a given [tex]\( n \)[/tex].
7. Result:
The final expression shows that [tex]\( u \)[/tex] is dependent on the value of [tex]\( n \)[/tex] and specifically is:
[tex]\[ u = \sqrt{5 - 2n} \][/tex]
Thus, we can conclude the general form of [tex]\( u \)[/tex] for any given [tex]\( n \)[/tex]:
[tex]\[ u = \sqrt{5 - 2n} \][/tex]
This is the required solution in a general form without specifying a specific value of [tex]\( n \)[/tex].
