Step-by-step explanation:
5n - 2 => 2 less than 5 times a number
2(5 + n)=> Twice the sum of 5 and a number
2n + 5 => The sum of twice a number and 5
5n/2 => Half of <u>5</u> times a number:
2 - 5n => The product of 5 and a number less than 2
We can rewrite the expression under the radical as
then taking the fourth root, we get
Why the absolute value? It's for the same reason that
since both and return the same number , and captures both possibilities. From here, we have
The absolute values disappear on all but the term because all of , and are positive, while could potentially be negative. So we end up with
You cannot find the answer to 4x+120 without knowing x, otherwise it is simplified as far as it can be