We'll expand to the cube expressions from both
sides:
[( x^3 + x^2 + 3x - 10 )^1/3]^3 =
x^3
x^3 + x^2 + 3x - 10 =
x^3
We'll eliminate like
terms:
x^2 + 3x - 10 = 0
We'll
apply quadratic formula:
x1 =
[-3+sqrt(9+40)]/2
x1 =
(-3+7)/2
x1 =
2
x2 =
(-3-7)/2
x2 =
-5
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