document.write( "Question 1121419: If the sum of the squares of two numbers is 120, while their product is 24. What is their difference? \n" ); document.write( "

Algebra.Com's Answer #737301 by Boreal(15235) $\"\"$ $\"About$

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x and y are the numbers
\n" ); document.write( "x^2+y^2=120
\n" ); document.write( "xy=24
\n" ); document.write( "x=24/y; substitute
\n" ); document.write( "576/y^2+y^2=120
\n" ); document.write( "multiply through by y^2
\n" ); document.write( "y^4-120y^2+576=0
\n" ); document.write( "y^2=(1/2)(120+/-sqrt(120^2-2304)); sqrt term=109.99
\n" ); document.write( "y^2=(1/2)(229.99) or 115 and y^2=(1/2)(10.01) or 5
\n" ); document.write( "y=sqrt (115) or 10.72 x=sqrt(5) or 2.24
\n" ); document.write( "to three decimal places,
\n" ); document.write( "x=2.237
\n" ); document.write( "y=10.723
\n" ); document.write( "product 23.987
\n" ); document.write( "sum of squares 119.987
\n" ); document.write( "Their difference is 8.486 \n" ); document.write( "

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