document.write( "Question 394694: The sum of two numbers is 14. The sum of the squares of the two numbers is 106. Find the two numbers. \n" ); document.write( "

Algebra.Com's Answer #280035 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi
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document.write( "The sum of two numbers is 14
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document.write( "Let x and (14-x) represent the two numbers
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document.write( "Question states***
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document.write( " x^2 + (14-x)^2 = 106
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document.write( "solving for x
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document.write( "  2x^2 -28x + 196 = 106
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document.write( "  2x^2 -28x + 90 = 0 
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document.write( " 2(x^2 -14x + 45) = 0
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document.write( "factoring
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document.write( "  (x-9)(x-5) = 0  Numbers are 5 and 9\r
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document.write( "CHECKING our Answer***
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document.write( " 25 + 81 = 106\r
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