document.write( "Question 454914: What is the answer to: Guess my number: One number is five more than a second number. The product of the two numbers is 3300. Find the two numbers. \n" ); document.write( "
Algebra.Com's Answer #312315 by algebrahouse.com(1659) You can put this solution on YOUR website! \"What is the answer to: Guess my number: One number is five more than a second number. The product of the two numbers is 3300. Find the two numbers.\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = one number \n" ); document.write( "x + 5 = other number {one number is five more than the other}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x(x + 5) = 3300 {their product is 3300} \n" ); document.write( "x² + 5x = 3300 {used distributive property} \n" ); document.write( "x² + 5x - 3300 = 0 {subtracted 3300 from both sides} \n" ); document.write( "(x + 60)(x - 55) = 0 {factored into two binomials} \n" ); document.write( "x + 60 = 0 or x - 55 = 0 {set each factor equal to 0} \n" ); document.write( "x = -60 or x = 55 {subtracted 60 and added 55, respectively} \n" ); document.write( "x + 5 = -55 or x + 5 = 60 {substituted -60 and 55, in for x, into x + 5}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-60 and -55 are the two numbers \n" ); document.write( "or \n" ); document.write( "55 and 60 are the two numbers \n" ); document.write( "www.algebrahouse.com \n" ); document.write( " |