document.write( "Question 933062: 1. Explain how do you know x2 + 6x +6 is not a perfect square trinomial. \n" ); document.write( "
Algebra.Com's Answer #566581 by josgarithmetic(39618)\"\" \"About 
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You can try proving through contradiction.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2Bb%29%28x%2Bb%29\" is a perfect square and the equivalent trinomial can be found.
\n" ); document.write( "\"%28x%2Bb%29%5E2=x%5E2%2B2bx%2Bb%5E2\".
\n" ); document.write( "You would assume that \"2b=6\" and \"b%5E2=6\". You would expect to find ONE unique number for b which satisfies both of these equations. Let's try.\r
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\n" ); document.write( "\n" ); document.write( "\"2b=6\" means \"b=3\".\r
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\n" ); document.write( "\n" ); document.write( "\"b%5E2=6\" means \"b=0%2B-+sqrt%286%29\".\r
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\n" ); document.write( "\n" ); document.write( "These two results for b are not equal.
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