document.write( "Question 200748: The sum of two numbers is 11
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document.write( "The sum of the squares of the two numbers is 73, find the two numbers. \n" );
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Algebra.Com's Answer #150971 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! (1) x +y =11 \n" ); document.write( "(2) x^2 + y^2 =73 \n" ); document.write( ". \n" ); document.write( "from(1) y = (11-x) \n" ); document.write( ". \n" ); document.write( "subst into (2) \n" ); document.write( ". \n" ); document.write( "x^2 +(11-x)^2 =73 \n" ); document.write( "x^2 + (121 -22x +x^2 = 73 \n" ); document.write( "2x^2 -22x +48 =0 \n" ); document.write( "divide by 2 \n" ); document.write( "x^2 -11x +24 =0 \n" ); document.write( "factor \n" ); document.write( "(x-8)(x-3) =0 \n" ); document.write( "x= 8 , 3 \n" ); document.write( ". \n" ); document.write( " check \n" ); document.write( "(1) 8+3=11,,,,ok \n" ); document.write( "(2) 64 + 9 = 73 ,,,,,ok \n" ); document.write( " |