document.write( "Question 385568: the smaller number is 10 less than the larger. the sum of the squares of the numbers is 250. find the numbers \n" ); document.write( "

Algebra.Com's Answer #272776 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,         
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document.write( "Let (x-10) and x represent the smaller and larger number respectively
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document.write( "Question States***
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document.write( "  (x-10)^2 + x^2 = 250
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document.write( "Solving for x
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document.write( " x^2 - 20x + 100 + x^2 = 250
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document.write( "  2x^2 -20x -150 = 0 
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document.write( "  2(x^2 - 10x - 75) = 0
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document.write( "factoring
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document.write( "(x-15)(x +5) = 0 Note:SUM of the inner product(-15*x) and the outer product(5x) = -10x
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document.write( "(x-15)= 0
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document.write( "   x = 15, the larger number,smaller number is  5 
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document.write( "(x +5) = 0
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document.write( "   x = -5, the larger number, -15 the smaller number
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document.write( "CHECKING our Answers
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document.write( " |smaller|^2 + |larger|^2 = 250 \n" );
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