document.write( "Question 80074: how do you solve x^3=1 \n" ); document.write( "
Algebra.Com's Answer #57428 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "How do you solve xウ = 1?\r\n" );
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document.write( "      xウ = 1\r\n" );
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document.write( "  xウ - 1 = 0\r\n" );
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document.write( "Factor the difference of cubes:\r\n" );
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document.write( "(x - 1)(xイ + x + 1) = 0\r\n" );
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document.write( "Set each factor equal to 0\r\n" );
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document.write( "Setting first factor = 0\r\n" );
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document.write( "x - 1 = 0\r\n" );
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document.write( "    x = 1  (that's ONE solution).\r\n" );
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document.write( "Setting second factor = 0\r\n" );
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document.write( "         xイ + x + 1 = 0 \r\n" );
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document.write( "Use the quadratic formula:\r\n" );
document.write( "                  ______ \r\n" );
document.write( "            -b ア bイ-4ac\r\n" );
document.write( "        x = 覧覧覧覧覧覧予r\n" );
document.write( "                2a \r\n" );
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document.write( "where a = 1; b = 1; c = 1\r\n" );
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document.write( "                     _____________\r\n" );
document.write( "             -(1) ア (1)イ-4(1)(1)\r\n" );
document.write( "        x = 覧覧覧覧覧覧覧覧覧覧覧覧\r\n" );
document.write( "                     2(1) \r\n" );
document.write( "                   _____ \r\n" );
document.write( "             -1 ア 1-4\r\n" );
document.write( "        x = 覧覧覧覧覧覧予r\n" );
document.write( "                  2\r\n" );
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document.write( "                   __ \r\n" );
document.write( "             -1 ア -3\r\n" );
document.write( "        x = 覧覧覧覧覧予r\n" );
document.write( "                 2  \r\n" );
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document.write( "                    _ \r\n" );
document.write( "             -1 ア i3\r\n" );
document.write( "        x = 覧覧覧覧覧予r\n" );
document.write( "                 2 \r\n" );
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document.write( "To write these in the form A ア Bi\r\n" );
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document.write( "             -1     3\r\n" );
document.write( "        x = 覧覧 ア 覧覧キi \r\n" );
document.write( "              2      2\r\n" );
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document.write( "So there are three solutions:\r\n" );
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document.write( "(1)     x = 1\r\n" );
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document.write( "                     _\r\n" );
document.write( "             -1     3\r\n" );
document.write( "(2)     x = 覧覧 + 覧覧キi \r\n" );
document.write( "              2      2\r\n" );
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document.write( "                     _\r\n" );
document.write( "             -1     3\r\n" );
document.write( "(3)     x = 覧覧 - 覧覧キi \r\n" );
document.write( "              2      2\r\n" );
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document.write( "Edwin
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