document.write( "Question 947603: solve 3x² + x - 2 \n" ); document.write( "

Algebra.Com's Answer #578251 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+3x%5E2+%2B+x+-+2+\"$
\n" ); document.write( "Use quadratic formula
\n" ); document.write( " $\"+x+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"$
\n" ); document.write( " $\"+a+=+3+\"$
\n" ); document.write( " $\"+b+=+1+\"$
\n" ); document.write( " $\"+c+=+-2+\"$
\n" ); document.write( "--------------
\n" ); document.write( " $\"+x+=+%28+-1+%2B-+sqrt%28+1%5E2+-+4%2A3%2A%28-2%29+%29%29+%2F+%282%2A3%29+\"$
\n" ); document.write( " $\"+x+=+%28+-1+%2B-+sqrt%28+1+%2B+24%29%29+%2F+6+\"$
\n" ); document.write( " $\"+x+=+%28+-1+%2B-+sqrt%28+25%29%29+%2F+6+\"$
\n" ); document.write( " $\"+x+=+%28+-1+%2B+5+%29+%2F+6+\"$
\n" ); document.write( " $\"+x+=+4%2F6+\"$
\n" ); document.write( " $\"+x+=+2%2F3+\"$
\n" ); document.write( "and, using the negative square root,
\n" ); document.write( " $\"+x+=+%28+-1+-+5+%29+%2F+6+\"$
\n" ); document.write( " $\"+x+=+-6%2F6+\"$
\n" ); document.write( " $\"+x+=+-1+\"$
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( "The factors are:
\n" ); document.write( " $\"+%28+x+-+2%2F3+%29%2A%28+x+%2B+1+%29+=+0+\"$
\n" ); document.write( " $\"+x%5E2+%2B+%281%2F3%29%2Ax+-+2%2F3+=+0+\"$
\n" ); document.write( "Multiply both sides by $\"+3+\"$
\n" ); document.write( " $\"+3x%5E2+%2B+x+-+2+=+0+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );