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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]
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