Which of the following occurs within the solution process for 3√5x-2-3√4x=0
1 answer:
For this case we have the following expression:
![\sqrt [3] {5x-2} - \sqrt [3] {4x} = 0](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B5x-2%7D%20-%20%5Csqrt%20%5B3%5D%20%7B4x%7D%20%3D%200)
If we add to both sides of the equation
we have:
![\sqrt [3] {5x-2} = \sqrt [3] {4x}](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B5x-2%7D%20%3D%20%5Csqrt%20%5B3%5D%20%7B4x%7D)
To eliminate the roots we must raise both sides to the cube:
![(\sqrt [3] {5x-2}) ^ 3 = (\sqrt [3] {4x}) ^ 3\\5x-2 = 4x](https://tex.z-dn.net/?f=%28%5Csqrt%20%5B3%5D%20%7B5x-2%7D%29%20%5E%203%20%3D%20%28%5Csqrt%20%5B3%5D%20%7B4x%7D%29%20%5E%203%5C%5C5x-2%20%3D%204x)
So, the correct option is the option c
Answer:
Option C
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