document.write( "Question 1146973: if x = (a + (a²+b³)^1/2)^1/3 + (a - (a²+b³)^1/2)^1/3) then x³ + 3bx ise \n" ); document.write( "
Algebra.Com's Answer #768445 by Edwin McCravy(20065)\"\" \"About 
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(a + (a²+b³)^1/2)^(1/3) + (a - (a²+b³)^1/2)^(1/3)
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document.write( "That is equivalent to:\r\n" );
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document.write( "Cardano's cubic formula says that the solution to\r\n" );
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document.write( "\"x%5E3%2Bpx%2Bq=0\" \r\n" );
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document.write( "is \r\n" );
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document.write( "So if we set\r\n" );
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document.write( "a = -q/2 and b = p/3,\r\n" );
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document.write( "then\r\n" );
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document.write( "q = -2a and p = 3b\r\n" );
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document.write( "then\r\n" );
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document.write( "is the solution to the cubic equation\r\n" );
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document.write( "\"x%5E3%2B3bx-2a=0\"\r\n" );
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document.write( "and therefore\r\n" );
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document.write( "\"x%5E3%2B3bx=2a\"\r\n" );
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document.write( "answer: 2a\r\n" );
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document.write( "Edwin

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