Solve the equation 3x^2/3 + x^1/3 − 2 = 0
Let u = x^1/3
The equation can therefore be written as:
3u^2+u-2=0
This can be factorised to:
(3u-2)(u+1)+0
Therefore: u = 2/3 or u = -1 OR x^1/3 = 2/3 or x^1/3 = -1
So: x = (2/3)^3 or x = (-1)^3
x = 8/27 or x = -1
NH
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