document.write( "Question 1028785: can someone help answer these twin questions?? they don't make any sense, thanks\r
\n" ); document.write( "\n" ); document.write( "#1 Factor the expression on the left side of the equation. Then solve the equation.
\n" ); document.write( " x3 − 2x2 − 5x = 0
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\n" ); document.write( " A. 0, -1 +/- sqrt 24
\n" ); document.write( " B. -5, 0, 3
\n" ); document.write( " C. 0, 1 +/- sqrt 6
\n" ); document.write( " D. 0, -1 +/- sqrt 6\r
\n" ); document.write( "\n" ); document.write( "#2 Factor the expression on the left side of the equation. Then solve the equation.
\n" ); document.write( " x6 + 128x3 + 4096 = 0
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\n" ); document.write( " A. 4, 2 +/- 2i*sqrt 3
\n" ); document.write( " B. 4 multiplicity of 2, 2 +/- 2i*sqrt3 multiplicity of 2
\n" ); document.write( " C. -4, 2 +/- 2i*sqrt 3
\n" ); document.write( " D. - 4 multiplicity of 2, 2 +/- 2i*sqrt3 multiplicity of 2
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Algebra.Com's Answer #643877 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "#1 Factor the expression on the left side of the equation. Then solve the equation.
\n" ); document.write( " x^3 - 2x^2 - 5x = 0
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\n" ); document.write( "A. 0, -1 +/- sqrt 24
\n" ); document.write( "B. -5, 0, 3
\n" ); document.write( "C. 0, 1 +/- sqrt 6
\n" ); document.write( "D. 0, -1 +/- sqrt 6
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document.write( "Factor:\r\n" );
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document.write( "\"x%2A%28x%5E2+-+2x+-5%29\" = \"0\".\r\n" );
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document.write( "Solve the equation \"%28x%5E2+-+2x+-5%29\" = \"0\". Apply the quadratic formula\r\n" );
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document.write( "\"x%5B1%2C2%5D\" = \"%282+%2B-+sqrt%284+%2B+4%2A5%29%29%2F2\" = \"%282+%2B-+sqrt%2824%29%29%2F2\" = \"%282+%2B-+2%2Asqrt%286%29%29%2F2\" = \"1+%2B-+sqrt%286%29\".\r\n" );
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document.write( "The roots of the original equation are  0,  \"1+%2Bsqrt%286%29\"  and  \"1+-+sqrt%286%29\".\r\n" );
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document.write( "The answer is option C.\r\n" );
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\n" ); document.write( "\n" ); document.write( "#2 Factor the expression on the left side of the equation. Then solve the equation.
\n" ); document.write( "x6 + 128x3 + 4096 = 0\r
\n" ); document.write( "\n" ); document.write( "A. 4, 2 +/- 2i*sqrt 3
\n" ); document.write( "B. 4 multiplicity of 2, 2 +/- 2i*sqrt3 multiplicity of 2
\n" ); document.write( "C. -4, 2 +/- 2i*sqrt 3
\n" ); document.write( "D. - 4 multiplicity of 2, 2 +/- 2i*sqrt3 multiplicity of 2\r
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document.write( "Factor\r\n" );
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document.write( "\"x6+%2B+128x3+%2B+4096\" = \"%28x%5E3+%2B+64%29%5E2\".   (1)\r\n" );
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document.write( "Now solve  \r\n" );
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document.write( "\"%28x%5E3+%2B+64%29%5E2\" = \"0\".        (2)\r\n" );
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document.write( "It is reduced to \r\n" );
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document.write( "\"x%5E3+%2B+64%29\" = \"0\",         (3)\r\n" );
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document.write( "\"x%5E3\" = \"-64\",\r\n" );
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document.write( "\"x%5B1%2C2%2C3%5D\" = \"-4\",  \"%28-4%29%2A%28cos%282pi%2F3%29+%2B+i%2Asin%282pi%2F3%29%29\",  \"%28-4%29%2A%28cos%282pi%2F3%29+-+i%2Asin%282pi%2F3%29%29\",   or, which is the same \r\n" );
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document.write( "\"-4\",  \"%28-4%29%2A%28%28-1%2F2%29+%2B+i%2A%28sqrt%283%29%2F2%29%29\",  \"%28-4%29%2A%28%28-1%2F2%29+-+i%2A%28sqrt%283%29%2F2%29%29\",   or,  which is the same again\r\n" );
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document.write( "\"-4\",  \"2+%2B-+2i%2Asqrt%283%29\".     (4).\r\n" );
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document.write( "Thus the solution of (3) are the roots (4).\r\n" );
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document.write( "Hence, the solution of (1) are the roots listed under the option D)\r\n" );
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