document.write( "Question 380639: The sum of two numbers is 2. Three times the sum of their reciprocals is 8. What are the numbers? \n" ); document.write( "
Algebra.Com's Answer #270216 by ewatrrr(24785)\"\" \"About 
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document.write( "Hi
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document.write( "Let x and (2-x)represent the two numbers
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document.write( "3[1/x + 1/(2-x)] = 8  
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document.write( "  3 /x + 3/(2-x) = 8 Multiplying each side of the equation by x(2-x)
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document.write( "3(2-x) + 3x = 8x(2-x)
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document.write( "6 - 3x + 3x = 8x(2-x)
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document.write( " 6 = 16x - 8x^2
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document.write( "8x^2 -16x + 6 = 0
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document.write( "4x^2 - 8x + 3 = 0
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document.write( "\"x+=+%288+%2B-+sqrt%2816%29%29%2F%288%29+\"
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document.write( "\"x+=+1+%2B-+1%2F2+\"
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document.write( "  x = 1.5 and x = .5
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document.write( " CHECKING our Anwer
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document.write( " 3[2/3 + 2] = 2 + 6 = 8 \n" );
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