document.write( "Question 1041297: The sum of the squares of two numbers is 1130 while the square of their sum is 1849. Find the two numbers. \n" ); document.write( "

Algebra.Com's Answer #656276 by ikleyn(52776) $\"\"$ $\"About$

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\n" ); document.write( "The sum of the squares of two numbers is 1130 while the square of their sum is 1849. Find the two numbers.
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document.write( "Let x and y be these two numbers. Then\r\n" );
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document.write( " = 1130,      (1)\r\n" );
document.write( " = 1849.      (2)\r\n" );
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document.write( "From (2), x + y = +/- = +/-43.\r\n" );
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document.write( "Now the original system (1),(2) deploys in two systems that should be solved separately.\r\n" );
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document.write( "1)  = 1130,      (1')\r\n" );
document.write( "   x + y     = 43.      (2')\r\n" );
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document.write( "From (2'), express x via y as x = 43-y. Then substitute it into (1'). You will get\r\n" );
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document.write( "    = 1130.\r\n" );
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document.write( "Simplify and solve it. Can you do it on your own?\r\n" );
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document.write( "2)  = 1130,      (1'')\r\n" );
document.write( "   x + y     = -43.     (2'')\r\n" );
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document.write( "From (2''), express x via y as x = -43-y. Then substitute it into (1''). You will get\r\n" );
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document.write( "    = 1130.\r\n" );
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document.write( "Simplify and solve it. Can you do it on your own?\r\n" );
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