document.write( "Question 686945: Find all integers k such that the trinomial is a perfect square trinomial \r
\n" ); document.write( "\n" ); document.write( "64x(squared) + kxy + y (squared) \r
\n" ); document.write( "\n" ); document.write( " So am I just replacing k ?
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Algebra.Com's Answer #424941 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Perfect Square Trinomials: These are of the form \"%28x%2By%29%5E2+=+%28x%2By%29%28x%2By%29+=+x%5E2+%2B2xy%2By%5E2\"\r
\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "\"64x%5E2+%2B+k%2Axy+%2B+y+%5E2\" \r
\n" ); document.write( "\n" ); document.write( "\"%288x%29%5E2+%2B+k%2Axy+%2B+1%2Ay+%5E2\" ....using a Rule for the Square of a Sum (a + b) ^2 = a ^2 + 2ab + b ^2, where \"a=8\" and \"b=1\" we can find \"k\"\r
\n" ); document.write( "\n" ); document.write( "and it is \"2%2A8%2A1=16\"\r
\n" ); document.write( "\n" ); document.write( "\"%288x%29%5E2+%2B+16xy+%2B+y+%5E2\" \r
\n" ); document.write( "\n" ); document.write( "\"%288x+%2B+y%29%5E2\" \r
\n" ); document.write( "\n" ); document.write( "\"%288x+%2B+y%29%288x+%2B+y%29\"
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