document.write( "Question 117635This question is from textbook
\n" ); document.write( ": The sum of two numbers is 25 and the sum of their squares is 313. Find the numbers. (Express one number as x, the other in terms of x).\r
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Algebra.Com's Answer #85642 by stanbon(75887)\"\" \"About 
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The sum of two numbers is 25 and the sum of their squares is 313. Find the numbers. (Express one number as x, the other in terms of x).
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\n" ); document.write( "Let one of the numbers be \"x\" ; the other number is \"25-x\".
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\n" ); document.write( "EQUATION:
\n" ); document.write( "x^2 + (25-x)^2 = 313\r
\n" ); document.write( "\n" ); document.write( "x^2 + 625 - 50x + x^2 = 313\r
\n" ); document.write( "\n" ); document.write( "2x^2 -50x + 212 = 0\r
\n" ); document.write( "\n" ); document.write( "x^2-25x+106 = 0\r
\n" ); document.write( "\n" ); document.write( "x = [25 +- sqrt(625-4*106)]/2\r
\n" ); document.write( "\n" ); document.write( "x = [25 +- sqrt(201)]/2\r
\n" ); document.write( "\n" ); document.write( "x = (25+sqrt(201))/2 = 19.5887
\n" ); document.write( "OR
\n" ); document.write( "x = (25-sqrt(201)/2 = 5.4113\r
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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