document.write( "Question 516279: if the third of the three consecutive positive odd integers is added to product of the first and second,the result is 144 find the integers \n" ); document.write( "
Algebra.Com's Answer #344310 by gc2000(22)![]() ![]() You can put this solution on YOUR website! let consecutive positive odd integers = x, x+2, x+4 \n" ); document.write( "add 3rd to product of 1st & 2nd, it totals 144: \n" ); document.write( "(x)(x+2) + (x+4) = 144 \n" ); document.write( "x^2 + 2x + x + 4 = 144 \n" ); document.write( "x^2 + 3x + 4 = 144 \n" ); document.write( "x^2 + 3x - 140 = 0 \n" ); document.write( "(x + 14)(x - 10) [oops, that doesn't factor, did I make a mistake?]\r \n" ); document.write( "\n" ); document.write( "Check by Trial and error:\r \n" ); document.write( "\n" ); document.write( "9 11 13 ... 9*11 + 13 = 112\r \n" ); document.write( "\n" ); document.write( "11 13 15 ... 11*13 + 15 = 158\r \n" ); document.write( "\n" ); document.write( "No mistake. There is NO SOLUTION [or perhaps the question wasn't worded correctly?]\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |