document.write( "Question 1045527: What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve. \n" ); document.write( "

Algebra.Com's Answer #660996 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve.
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document.write( " = .\r\n" );
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document.write( "Introduce a new variable u = .\r\n" );
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document.write( "Then your original equation takes the form\r\n" );
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document.write( " = .\r\n" );
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document.write( "Factor the left side:\r\n" );
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document.write( "(u+1)*(u+2) = 0.\r\n" );
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document.write( "The solutions of this equation are\r\n" );
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document.write( "a)  u = -1, which means  = -1.  This equation has no real solutions.\r\n" );
document.write( "            It has two complex solutions  x = i  and  x = -i, where i = .\r\n" );
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document.write( "a)  u = -2, which means  = -2.  This equation has no real solutions.\r\n" );
document.write( "            It has two complex solutions  x =   and  x = .\r\n" );
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document.write( "Answer.  There is no real solutions.\r\n" );
document.write( "         There are four complex solutions  x = i,  x = -i,  x =   and  x = \r\n" );
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