document.write( "Question 1005305: |x^2-2x|=|3x-6| \n" ); document.write( "
Algebra.Com's Answer #621616 by ikleyn(52788)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Figure. Plots  |x^2-2x|  and  |3x-6| \r
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\n" ); document.write( "\n" ); document.write( "You need to consider the given equation on three separate intervals/segment: \r
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\n" ); document.write( "\n" ); document.write( "1) x < 0,\r
\n" ); document.write( "\n" ); document.write( "2) 0 <= x <= 2,     and\r
\n" ); document.write( "\n" ); document.write( "3) x > 2.\r
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\n" ); document.write( "\n" ); document.write( "On the first interval your equation becomes\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-2x+=+-3x+%2B+6\".\r
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\n" ); document.write( "\n" ); document.write( "On the second interval your equation becomes\r
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\n" ); document.write( "\n" ); document.write( "\"-x%5E2%2B2x+=+-3x+%2B+6\".\r
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\n" ); document.write( "\n" ); document.write( "On the third interval your equation becomes\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-2x+=+3x+-+6\".\r
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\n" ); document.write( "\n" ); document.write( "Now solve each equation in its interval.\r
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