Question

TIME SENSITIVE The first step in solving this equation is to (BLANK) the second step is to (BLANK) solving this equation for X initially yields (BLANK) checking solution shows that (BLANK= 0 and 2 are valid solutions)

Answer 1

Give

`(4x)^{(1)/(3)}-x=0`

Procedure

The first step in solving this equation is to add x to both sides

`(4x)^{(1)/(3)}=x`

The second step is to cube both sides

`4x=x^3`

solving this equation for X initially yields in three solutions

`\begin{gathered} x(4-x^2)=0 \\ x(2-x)(2+x)=0 \end{gathered}`

checking solution shows that x = 0, x = -2 and x = 2