document.write( "Question 62775: need help
\n" ); document.write( "find all real and complex solutions: x^3+2x^2+3x=0 \n" ); document.write( "

Algebra.Com's Answer #43606 by Cintchr(481) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+x%5E3%2B2x%5E2%2B3x=0+\"$
\n" ); document.write( "factor out an x
\n" ); document.write( " $\"+x%28x%5E2%2B2x%2B3%29=0+\"$
\n" ); document.write( "the Trinomial will not factor, so use the Quadratic equation
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "a=1
\n" ); document.write( "b=2
\n" ); document.write( "c=3
\n" ); document.write( " $\"x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A1%2A3+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( "work what is under the root first
\n" ); document.write( " $\"x+=+%28-2+%2B-+sqrt%28+4-4%2A1%2A3+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"x+=+%28-2+%2B-+sqrt%28+4-12+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"x+=+%28-2+%2B-+sqrt%28+-8+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( "Work the denominator
\n" ); document.write( " $\"x+=+%28-2+%2B-+sqrt%28+-8+%29%29%2F2+\"$
\n" ); document.write( "work the negative root
\n" ); document.write( " $\"x+=+%28-2+%2B-+2i+%28sqrt%28+2+%29%29%29%2F2+\"$
\n" ); document.write( "reduce the fraction
\n" ); document.write( " $\"x+=+%28-1+%2B-+1i+%28sqrt%28+2+%29%29%29%2F1+\"$
\n" ); document.write( " $\"x+=+-1+%2B-+1i+%28sqrt%28+2+%29%29+\"$
\n" ); document.write( "This is 2 of your answers, the other is x=0 .... the one we factored out at the beginning.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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