document.write( "Question 417383: divide 224 into two parts such that when the larger part is divided by the smaller part, the quotient is 2 and the remainder is half of the smaller part. find the larger part. \n" ); document.write( "

Algebra.Com's Answer #292197 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi
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document.write( "divide 224 into two parts
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document.write( "Let x and (224-x) represent the smaller and larger part respectively
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document.write( "Question states***
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document.write( "Solving for x
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document.write( "    2(224-x) = 4x + x^2   |Multiplying thru by 2x
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document.write( "    x^2 +6x -448 = 0 
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document.write( "  x = 18.3776    | Tossing out negative solution
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document.write( "  CHECKING our Answer***
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document.write( "   205.6224/18.3776 = 11.1888 = 2 + (1/2)18.3776 = 2 + 9.1888
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