SOLUTION: 1. Explain how do you know x2 + 6x +6 is not a perfect square trinomial.

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Question 933062: 1. Explain how do you know x2 + 6x +6 is not a perfect square trinomial.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
You can try proving through contradiction.

is a perfect square and the equivalent trinomial can be found.
.
You would assume that and . You would expect to find ONE unique number for b which satisfies both of these equations. Let's try.

means .

means .

These two results for b are not equal.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

1. Explain how do you know x2 + 6x +6 is not a perfect square trinomial.


c, which in this case is 6, is NOT a perfect square.  

You can do the check!! 

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