document.write( "Question 181511: One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides? \n" ); document.write( "
Algebra.Com's Answer #854676 by ikleyn(53937)\"\" \"About 
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\n" ); document.write( "One side of a rectangular stage is 2 meters longer than the other.
\n" ); document.write( "If the diagonal is 10 meters, then what are the lengths of the sides?
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\n" ); document.write( "\n" ); document.write( "        The solution and the answer in the post by @HyperBrain both are incorrect due to arithmetic error.\r
\n" ); document.write( "\n" ); document.write( "        See my correct solution below.\r
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\n" ); document.write( "\n" ); document.write( "Let x = width
\n" ); document.write( ". . x+2 = length
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\n" ); document.write( "The diagonal of length 10 acts as the hypotenuse while x and x+2 are the legs. Using the Pythagorean theorem,\r
\n" ); document.write( "\n" ); document.write( "x2+(x+2)^2 = 10^2\r
\n" ); document.write( "\n" ); document.write( "x^2 + x^2 + 4x + 4 = 100\r
\n" ); document.write( "\n" ); document.write( "2x^2 + 4x - 96 = 0\r
\n" ); document.write( "\n" ); document.write( " x^2 + 2x - 48 = 0\r
\n" ); document.write( "\n" ); document.write( "(x+8)*(x-6) = 0\r
\n" ); document.write( "\n" ); document.write( "Use the positive root x = 6.\r
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\n" ); document.write( "\n" ); document.write( "The sides are 6 meters and 8 meters.         ANSWER\r
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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\n" ); document.write( "\n" ); document.write( "The fact that @HyperBrain repeats these words \"Power up, @HyperBrain!\" from post to post,
\n" ); document.write( "tells me that he uses a computer code.\r
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\n" ); document.write( "\n" ); document.write( "The fact that @HyperBrain makes numerous errors from post to post,
\n" ); document.write( "tells me that his goal is to run the code, ONLY, without thinking is it correct or wrong.\r
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\n" ); document.write( "\n" ); document.write( "The correctness of his solution is permanently out of his consideration.
\n" ); document.write( "The correctness is not interesting to him.\r
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\n" ); document.write( "\n" ); document.write( "When a person writes this way, his character is seen through his writing as a clear day.\r
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