document.write( "Question 350632: the difference of two positive numbers is 4 and the sum of their squares is 80. Find the numbers \n" ); document.write( "

Algebra.Com's Answer #250649 by ewatrrr(24785) $\"\"$ $\"About$

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Hi,
\n" ); document.write( "Let x represent the smaller number. Then (x+4) will be the other.
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\n" ); document.write( "Question states
\n" ); document.write( " $\"x%5E2+%2B+%28x%2B4%29%5E2+=+80\"$
\n" ); document.write( ".
\n" ); document.write( " $\"x%5E2+%2B+x%5E2%2B+8x+%2B16+=+80\"$
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\n" ); document.write( " $\"2x%5E2+%2B+8x+%2B16+=+80\"$
\n" ); document.write( ".
\n" ); document.write( " $\"2x%5E2+%2B+8x+-64+=+0\"$
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\n" ); document.write( "factor
\n" ); document.write( "(2x - 8)(x+8) = 0
\n" ); document.write( "(x+8) = 0 this solution will not result in a positive number
\n" ); document.write( ".
\n" ); document.write( "(2x-8) = 0
\n" ); document.write( "x = 4
\n" ); document.write( "Numbers are 4 and 8
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\n" ); document.write( "check your answer
\n" ); document.write( "16 + 64 = 80 \n" ); document.write( "

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