document.write( "Question 846950: (3x^2-x)^2 - 5(3x^2-x) +6=0 \n" ); document.write( "

Algebra.Com's Answer #509970 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Substitute $\"u=3x%5E2-x\"$
\n" ); document.write( " $\"u%5E2-5u%2B6=0\"$
\n" ); document.write( " $\"%28u-2%29%28u-3%29=0\"$
\n" ); document.write( "Two \"u\" solutions:
\n" ); document.write( " $\"u-2=0\"$
\n" ); document.write( " $\"u=2\"$
\n" ); document.write( " $\"3x%5E2-x=2\"$
\n" ); document.write( " $\"%28x-1%29%283x%2B2%29\"$
\n" ); document.write( "Two \"x\" solutions:
\n" ); document.write( " $\"x-1=0\"$
\n" ); document.write( " $\"x=1\"$
\n" ); document.write( "and
\n" ); document.write( " $\"3x%2B2=0\"$
\n" ); document.write( " $\"3x=-2\"$
\n" ); document.write( " $\"x=-2%2F3\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"u-3=0\"$
\n" ); document.write( " $\"u=3\"$
\n" ); document.write( " $\"3x%5E2-x=3\"$
\n" ); document.write( " $\"3x%5E2-x-3=0\"$
\n" ); document.write( "Two more \"x\" solutions:
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A3%2A%28-3%29+%29%29%2F%282%2A3%29+\"$
\n" ); document.write( " $\"x+=+%281+%2B-+sqrt%281%2B36+%29%29%2F%286%29+\"$
\n" ); document.write( " $\"x+=+%281+%2B-+sqrt%28+37%29%29%2F%286%29+\"$
\n" ); document.write( " \n" ); document.write( "

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