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