Question

A number is raised to the 4 th power, then divided by half the of the original number, and finally increased by 141/2. If the result is 100, what was the orginal number

Answer 1

the number is 2.45

Explanation:

let the original number = n

`(n^4)/(n/2) = (2n^4)/(n) = 2n^3\\\\2n^3 + (141)/(2) = 100\\\\4n^3 + 141= 200\\\\4n^3 = 200 - 141\\\\4n^3 = 59\\\\n^3 = (59)/(4) \\\\n^3 = 14.75\\\\n = \sqrt[3]{14.75} \\\\n = 2.45`

Therefore, the number is 2.45