document.write( "Question 333433: One interger is 3 more than twice another. If the product of those integers is 65. find the two integers \n" ); document.write( "
Algebra.Com's Answer #238922 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two integers, x & y \n" ); document.write( ": \n" ); document.write( "\"One integer is 3 more than twice another.\" \n" ); document.write( "x = 2y + 3 \n" ); document.write( "; \n" ); document.write( "\"If the product of those integers is 65.\" \n" ); document.write( "x * y = 65 \n" ); document.write( "we can also write this: \n" ); document.write( "x = \n" ); document.write( ": \n" ); document.write( "replace x in the 1st equation with \n" ); document.write( " \n" ); document.write( "Multiply both sides by y \n" ); document.write( "65 = 2y^2 + 3y \n" ); document.write( "a quadratic equation \n" ); document.write( "2y^2 + 3y - 65 = 0 \n" ); document.write( "Factors to: \n" ); document.write( "(2y + 13)(y - 5) = 0 \n" ); document.write( ": \n" ); document.write( "The integer solution: \n" ); document.write( "y = 5 is one integer \n" ); document.write( ": \n" ); document.write( "find x using the 1st equation: \n" ); document.write( "x = 2(5) + 3 \n" ); document.write( "x = 13 is the other integer \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "Check 5 * 13 = 65\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |