SOLUTION: find the values of x if: x^3 + 3x^2 + 3x + 1 = x^2 + 3x + 2

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Question 899852: find the values of x if:
x^3 + 3x^2 + 3x + 1 = x^2 + 3x + 2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

x^3 + 2x^2 -1 = 0  |x = -1 one solution

Using Synthetic Division

-1	1	2	0	-1

		-1	-1	 1

	1	1	-1	 0

(x+1)(x^2 +x - 1) 

x^2 +x - 1

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-1+%2B-+sqrt%28+1%2B4%29%29%2F%282%29+

x = -1, -.5 ± √5