SOLUTION: x^(2/3) + 2 = 3x^ (1/3)
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Question 1004807: x^(2/3) + 2 = 3x^ (1/3)
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
+ = .
Introduce new variable y = . Then your equation takes the form
+ = , or
- + = .
Solve this quadratic equation. You can use the quadratic formula, or the Viete's theorem, or factoring.
The roots are y = 1 and y = 2.
y = 1 -----> x = 1.
y = 2 -----> x = 8.
Answer. The solutions are x=1 and x=8.
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