SOLUTION: Calculate x from x^3+3=x^2

Question 830950: Calculate x from x^3+3=x^2
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
We'll use numerical methods.
Graphing and together shows that there is only one point of intersection - slightly less than -1. So we know that there is only 1 real solution.
We use Newton's method:

then

We wont bother simplifying because we'll do the calculations by calculator:
guess x=-1

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