My basic attack is to get the equation that the expression represents. There may be a simpler way to do it, but this is the way I grok things...Originally Posted by Aradesh
Cubing both sides:
Express the second term as:
Then multiply the last two factors in this term:
Doing this to the third term as well, and simplifying, we get:
Rearranging a bit we get:
Now, at the beginning of this, we defined the LHS of this to be -x, so
Graphing this, we can easily see there is only one real root. Then, using whatever method you choose, we can find that the real solution is x=2.