SOLUTION: you multiply a number by the square root of that number. The cube of the result is 317 less than 20,000. what is the number?
Algebra ->
Square-cubic-other-roots
-> SOLUTION: you multiply a number by the square root of that number. The cube of the result is 317 less than 20,000. what is the number?
Log On
Question 1089464: you multiply a number by the square root of that number. The cube of the result is 317 less than 20,000. what is the number? Answer by ikleyn(52834) (Show Source):
Let "x" be the number under the question.
Then the condition says
= 20000 - 317, or, which is the same, x^(9/2) = 19683, or
= .
It implies = 3.
Hence, x = = 9.
Answer. x = 9.
Check. = = 27 and = 19683. ! Correct !.