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Consider this equation.

The first step in solving this equation is to
. The second step is to
.

Solving this equation for x initially yields
. Checking the solutions shows that
.

Consider This Equation The First Step In Solving This Equation Is To The Second Step Is To Solving This Equation For X Initially Yields Checking The Solutions S class=

Sagot :

Answer:

Step-by-step explanation:

To find the value of x that satisfies the equation  [tex](4x)^{1/3}[/tex] - x = 0

the following steps:

1. Isolate the cube root term:

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

2. Cube both sides to eliminate the cube root:

   4x = x^3

3. Bring all terms to one side to form a standard cubic equation:

   x^3 - 4x = 0

4. Factor out  x  from the equation:

   x(x^2 - 4) = 0

5. Solve for  x :

   x = 0

   x^2 - 4 = 0

6. Solve x^2 - 4 = 0

  x^2 = 4

  x = ±2

Therefore, the solutions to the equation (4x)^{1/3}- x = 0 are ( x = 0 ), ( x = 2 ), and  (x = -2).

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