Question

Mr. Yueng graded his students’ math quizzes.

Students came up with four different answers when solving the equation x3 = 22.
Which answer is correct?


A. x=22 3

B. x=22−−√3

C. x=±22−−√3

D. x=22−−√

Answer 1

For this case we must solve the following equation:

`x ^ 3 = 22`

If we apply cubic root to both sides of the equation, then we eliminate the exponent on the left side:

`\sqrt [3] {x ^ 3} = \sqrt [3] {22}\\x = \sqrt [3] {22}`

That is the exact solution of the equation. Its decimal solution is given by:

`x = \sqrt [3] {22} = 2.8020`

ANswer:

The solution to the equation is
`x = \sqrt [3] {22} = 2.8020`