document.write( "Question 1009342: Find any rational roots of the equation 3x^3-2x^2+6x-4=0 \n" ); document.write( "

Algebra.Com's Answer #624864 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"3x%5E3-2x%5E2%2B6x-4=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%283x%5E3-2x%5E2%29%2B%286x-4%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%283x-2%29%2B2%283x-2%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%283x-2%29%28x%5E2%2B2%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "roots:\r
\n" ); document.write( "\n" ); document.write( "if $\"%283x-2%29=+0\"$ => $\"3x=2\"$ => $\"highlight%28x=2%2F3%29\"$ ->real root\r
\n" ); document.write( "\n" ); document.write( "if $\"%28x%5E2%2B2%29+=+0\"$ => $\"x%5E2=-2\"$ => $\"x=sqrt%28-2%29\"$ => $\"highlight%28x=i%2Asqrt%282%29%29\"$ or $\"highlight%28x=-i%2Asqrt%282%29%29\"$ -> complex roots \n" ); document.write( "

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