document.write( "Question 355187: How do I solve this equation?\r
\n" ); document.write( "\n" ); document.write( "Which of the following set of all integers y for which 6y^2 + 9y + 17 is an even integer?\r
\n" ); document.write( "\n" ); document.write( "(a) The integers
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Algebra.Com's Answer #253735 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We make use of these facts:\r\n" );
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document.write( "even + even = even\r\n" );
document.write( "even + odd = odd\r\n" );
document.write( "odd + odd = even\r\n" );
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document.write( "even × even = even\r\n" );
document.write( "even × odd = even\r\n" );
document.write( "odd × odd = odd\r\n" );
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document.write( "Let's examine the three terms:\r\n" );
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document.write( "6y^2 will always be an even integer regardless of what y is \r\n" );
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document.write( "9y will be an even integer if y is even and it will be an odd integer if y is odd.\r\n" );
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document.write( "17 is odd regardless.\r\n" );
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document.write( "We want the sum of these to be even.  6y^2 is always even and 17 is\r\n" );
document.write( "always odd.  So the sum of the first and third terms 6y^2 + 17 is an\r\n" );
document.write( "even number plus an odd number, which will always be an odd number.  \r\n" );
document.write( "So in order for the sum of the three term to be even we must have the\r\n" );
document.write( "middle term 9y odd, so that the odd number 6y^2 + 17 will be added to\r\n" );
document.write( "another odd number to make an even sum.  So to make the middle term 9y\r\n" );
document.write( "odd we must choose y to be odd.  Therefore the answer is (e).\r\n" );
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document.write( "Edwin
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