document.write( "Question 821548: Twice the product of two numbers is 56. The sum of their squares is 65. If both numbers are positive, what is the sum of the two numbers? \n" ); document.write( "

Algebra.Com's Answer #494201 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,
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document.write( "Twice the product of two numbers  and  is  0r  2xy = 56, 
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document.write( "The sum of their squares is 65.    
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document.write( "If both numbers are positive, what is the sum of the two numbers ?
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document.write( "         |Substituting for x
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document.write( "     |Multiplying thru by y^2 so as all denominators = 1
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document.write( "    |Letting S = y^2
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document.write( "   S^2 - 65S + 784 = 0
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document.write( "  (S-49)(S-16) = 0, S is 16,49  and 
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document.write( "y is  4  or  7  and x is  7  0r  4  Note: \"both number are positive\"
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document.write( "the sum of the two numbers  is  11  \n" );
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