document.write( "Question 1087364: if a^2 + 1 = a find the value of a^3.
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Algebra.Com's Answer #701629 by Edwin McCravy(20055)\"\" \"About 
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document.write( "if a^2 + 1 = a find the value of a^3.\r\n" );
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document.write( "    a² + 1 = a\r\n" );
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document.write( "a² - a + 1 = 0\r\n" );
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document.write( "We recognize the left side as one of the factors in\r\n" );
document.write( "the factorization of the sum of two cubes \r\n" );
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document.write( "a³ + 1 = (a + 1)(a² - a + 1) \r\n" );
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document.write( "So we multiply both sides by (a + 1)\r\n" );
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document.write( "(a + 1)(a² - a + 1) = 0(a + 1)\r\n" );
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document.write( "             a³ + 1 = 0\r\n" );
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document.write( "                 a³ = -1\r\n" );
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document.write( "                \r\n" );
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document.write( "Edwin
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