document.write( "Question 934780: Please help me solve this problem:
\n" ); document.write( "two numbers have a different of 3.the sum of their square is 89.find the number
\n" ); document.write( "

Algebra.Com's Answer #567801 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Please help me solve this problem:
\n" ); document.write( "two numbers have a different of 3.the sum of their square is 89.find the number
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Let the larger number be L
\n" ); document.write( "Then smaller = L - 3
\n" ); document.write( "Being that their squares sum to 89, we get: \"L%5E2+%2B+%28L+-+3%29%5E2+=+89\"
\n" ); document.write( "\"L%5E2+%2B+L%5E2+-+6L+%2B+9+=+89\"
\n" ); document.write( "\"L%5E2+%2B+L%5E2+-+6L+%2B+9+-+89+=+0\"
\n" ); document.write( "\"2L%5E2+-+6L+-+80+=+0\"
\n" ); document.write( "\"2%28L%5E2+-+3L+-+40%29+=+2%280%29\"
\n" ); document.write( "\"L%5E2+-+3L+-+40+=+0\"
\n" ); document.write( "(L - 8)(L + 5) = 0
\n" ); document.write( "L, or larger number = 8 OR - 5\r
\n" ); document.write( "\n" ); document.write( "If larger number = 8, then smaller number = 8 - 3, or 5
\n" ); document.write( "If larger number = - 5, then smaller number = - 5 - 3, or - 8\r
\n" ); document.write( "\n" ); document.write( "Numbers: \"highlight_green%28highlight_green%28system%288_and_5_or%2C-+5_and_-+8%29%29%29%29\"
\n" ); document.write( "You can do the check!!
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