document.write( "Question 480114: The sum of two number is ten while the sum of their square is fifty-eight. What are the numbers? \n" ); document.write( "
Algebra.Com's Answer #330088 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! x+y=10 \n" ); document.write( "x=10-y..........(1)\r \n" ); document.write( "\n" ); document.write( "x^2+y^2=58......(2)\r \n" ); document.write( "\n" ); document.write( "Put the value of x in equation (2) \n" ); document.write( "(10-y)^2+Y^2=58\r \n" ); document.write( "\n" ); document.write( "100-20y+y^2+y^2=58 \n" ); document.write( "100-20y+2y^2=58 \n" ); document.write( "Divide by 2 both sides of the equation \n" ); document.write( "50-10y+y^2=29 \n" ); document.write( "y^2-10y+50-29=0 \n" ); document.write( "Y^2-10y+21=0 \n" ); document.write( "y^2-7y-3y+21=0 \n" ); document.write( "y(y-7)-3(y-7)=0 \n" ); document.write( "(y-7)(y-3)=0 \n" ); document.write( "y-7=0 or y-3=0 \n" ); document.write( "y=7 or y=3\r \n" ); document.write( "\n" ); document.write( "Put the values of y in equation (1) \n" ); document.write( "when y=7 \n" ); document.write( "x=10-7 \n" ); document.write( "x=3 \n" ); document.write( "When y=3 \n" ); document.write( "x=10-3 \n" ); document.write( "x=7\r \n" ); document.write( "\n" ); document.write( "So two numbers are 7,3 \n" ); document.write( " \n" ); document.write( " |