document.write( "Question 1031389: One positive number is 7 more than a second number, and their product is 44. \n" ); document.write( "
Algebra.Com's Answer #646106 by bcheng3(1) ![]() You can put this solution on YOUR website! 1) Define your variables: \n" ); document.write( "x = second positive number \n" ); document.write( "x + 7 = first positive number\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2) Write an equation: \n" ); document.write( "x(x + 7) = 44\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3) Solve equation: \n" ); document.write( "x^2 + 7x = 44 \n" ); document.write( "x^2 + 7x - 44 = 0 \n" ); document.write( "(x + 11)(x - 4) = 0 \n" ); document.write( "x + 11 = 0 OR x - 4 = 0 \n" ); document.write( "x = -11 OR x = 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "However, since -11 isn't positive and the question specifies a positive number and a positive product, we throw away x = -11.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, x = 4, which makes x + 7 = 11, so the two numbers are 4 and 11. \n" ); document.write( " |