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)

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 solut class=

Respuesta :

Give

[tex](4x)^{\frac{1}{3}}-x=0[/tex]

Procedure

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

[tex](4x)^{\frac{1}{3}}=x[/tex]

The second step is to cube both sides

[tex]4x=x^3[/tex]

solving this equation for X initially yields in three solutions

[tex]\begin{gathered} x(4-x^2)=0 \\ x(2-x)(2+x)=0 \end{gathered}[/tex]

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

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