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).
Try using any of the above to input in.
