document.write( "Question 48853: Please help with this problem. I have been doing fine with consecutive integer problems until the \"squares\" part was added.\r
\n" );
document.write( "\n" );
document.write( "Q: The sum of the squares of two consecutive odd integers decreased by the product of the integers is the same as 67. \r
\n" );
document.write( "\n" );
document.write( "I have been setting it up like this, but think I may be starting wrong since I don't seem to get answers that make sense\r
\n" );
document.write( "\n" );
document.write( " x^2+(x+2)^2 - x(x+2) = 67 \n" );
document.write( "
Algebra.Com's Answer #32348 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Q: The sum of the squares of two consecutive odd integers decreased by the product of the integers is the same as 67. \r \n" ); document.write( "\n" ); document.write( "Comment: \n" ); document.write( "Even numbers must be symbolized as multiples of two, e.g. 2x, 2(x+1), etc. \n" ); document.write( "Odd numbers are always 1 more than some even number. They must be symbolized \n" ); document.write( "as 2x+1 or 2x+3 etc. \n" ); document.write( "-------------------- \n" ); document.write( "So for your problem \n" ); document.write( "Two consecutive odd integers are \n" ); document.write( "1st: 2x+1 \n" ); document.write( "2nd: 2x+3 \n" ); document.write( "EQUATION: \n" ); document.write( "(2x+1)^2+(2x+3)^2-(2x+1)(2x+3)=67 \n" ); document.write( "Solve this equation for x. \n" ); document.write( "Then find 2x+1 and 2x+3 \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |