document.write( "Question 1085953: For what real values of c is x^2 + 16x + c the square of a binomial? If you find more than one, then list your values separated by commas. \n" ); document.write( "
Algebra.Com's Answer #700053 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "For what real values of \"c\" is \"x%5E2+%2B+16x+%2B+c\" the square of a binomial?\r
\n" ); document.write( "\n" ); document.write( "recall the square of a binomial:\"%28a%2Bb%29%5E2=a%5E2%2B2ab%2Bb%5E2\"\r
\n" ); document.write( "\n" ); document.write( "you have \"x%5E2+%2B+16x+%2B+c\"-> \"a=1\", \"2ab=16\", and \"b%5E2=c\"\r
\n" ); document.write( "\n" ); document.write( "find \"b\"-> \"b=16%2F2a\"-> \"b=16%2F%282%2A1%29\"-> \"b=8\"\r
\n" ); document.write( "\n" ); document.write( "then, \"8%5E2=c\"->\"c=64\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B+16x+%2B+64\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B+16x+%2B+8%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x+%2B+8%29%5E2\"\r
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