document.write( "Question 951535: Twice the product of two numbers is equal to the sum of their squares. What is the difference between the two numbers? And what are the numbers? \n" ); document.write( "
Algebra.Com's Answer #581114 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let the two numbers be a & b \n" ); document.write( "Write an equation for exactly what it says \n" ); document.write( ": \n" ); document.write( "Twice the product of two numbers is equal to the sum of their squares. \n" ); document.write( "2(ab) = a^2 + b^2 \n" ); document.write( "Arrange as a quadratic equation \n" ); document.write( "a^2 - 2ab + b^2 = 0 \n" ); document.write( "Factors to \n" ); document.write( "(a - b) (a - b) = 0 \n" ); document.write( ": \n" ); document.write( " What is the difference between the two numbers? \n" ); document.write( "the difference is 0 \n" ); document.write( "a = b \n" ); document.write( ": \n" ); document.write( "And what are the numbers \n" ); document.write( "a & b can equal any number, 2ab is the same as a^2+b^2, when they are equal\r \n" ); document.write( "\n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |