document.write( "Question 167220This question is from textbook Introductory Algebra
\n" ); document.write( ": Please find all integers b for which a^2 + ba - 50 can be factored. \n" ); document.write( "
Algebra.Com's Answer #123162 by Edwin McCravy(20060)\"\" \"About 
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Edwin's solution:
\n" ); document.write( "Please find all integers b for which \"a%5E2+%2B+ba+-+50\" can be factored.
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document.write( "The only ways to factor 50 into the product of\r\n" );
document.write( "two integers are 1x50, 2x25, and 5x10,\r\n" );
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document.write( "Therefore any factorization of \"a%5E2+%2B+ba+-+50\" must be one of these:\r\n" );
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document.write( "\"%28a%2B1%29%28a-50%29=a%5E2-49a-50\", so \"b=-49\"\r\n" );
document.write( "\"%28a-1%29%28a%2B50%29=a%5E2%2B49a-50\", so \"b=49\"\r\n" );
document.write( "\"%28a%2B2%29%28a-25%29=a%5E2-23a-50\", so \"b=-23\"\r\n" );
document.write( "\"%28a-2%29%28a%2B25%29=a%5E2%2B23a-50\", so \"b=23\"\r\n" );
document.write( "\"%28a%2B5%29%28a-10%29=a%5E2-5a-50\", so \"b=-5\"\r\n" );
document.write( "\"%28a-5%29%28a%2B10%29=a%5E2%2B5a-50\", so \"b=5\"\r\n" );
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document.write( "So there are 6 possible values for b.\r\n" );
document.write( "They are\r\n" );
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document.write( " ±49, ±23, ±5\r\n" );
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document.write( "Edwin
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