document.write( "Question 499231: sum of two numbers = 14. product of the numbers=40. canu help me find the numbers? what is thier diffrence? \n" ); document.write( "
Algebra.Com's Answer #337532 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let x and y are two numbers \n" ); document.write( "x+y=14......(1) \n" ); document.write( "xy=40.......(2) \n" ); document.write( "x=40/y \n" ); document.write( "Put the value of x in (1) \n" ); document.write( "40/y+y=14 \n" ); document.write( "Multiply by y both sides of above equation \n" ); document.write( "40+y^2=14y \n" ); document.write( "Rearrage above equation \n" ); document.write( "y^2-14y+40=0 \n" ); document.write( "Now slove for y \n" ); document.write( "y^2-10y-4y+40=0 \n" ); document.write( "y(y-10)-4(y-10)=0 \n" ); document.write( "(y-10)(y-4)=0 \n" ); document.write( "(y-10)(y-4)=0 \n" ); document.write( "y-10=0 or y-4=0 \n" ); document.write( "y=10 or y=4 \n" ); document.write( "put the value of y=10 in (1) \n" ); document.write( "x+y=14 \n" ); document.write( "x+10=14 \n" ); document.write( "x=14-10 \n" ); document.write( "x=4\r \n" ); document.write( "\n" ); document.write( "if the one number is 4 the other number is 10 or if the one number is 10 other number is 4\r \n" ); document.write( "\n" ); document.write( "difference of the numbers = 10-4=6\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |