document.write( "Question 242990: Please help me solve this equation: 3x^2 - 2x = 12. \n" ); document.write( "

Algebra.Com's Answer #178007 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"3x%5E2+-+2x+=+12\"$
\n" ); document.write( "Subtract $\"12\"$ from both sides
\n" ); document.write( " $\"3x%5E2+-+2x+-+12+=+0\"$
\n" ); document.write( "Now this is in the general form
\n" ); document.write( " $\"ax%5E2+%2B+bx+%2B+c+=+0\"$
\n" ); document.write( "Now apply the 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( "where
\n" ); document.write( " $\"a+=+3\"$
\n" ); document.write( " $\"b+=+-2\"$
\n" ); document.write( " $\"c+=+-12\"$
\n" ); document.write( " $\"x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A3%2A%28-12%29+%29%29%2F%282%2A3%29+\"$
\n" ); document.write( " $\"x+=+%28+2+%2B-+sqrt%28+4+%2B+144+%29%29%2F+6+\"$
\n" ); document.write( " $\"x+=+%28+2+%2B-+2%2Asqrt%28+37+%29%29%2F+6+\"$
\n" ); document.write( " $\"x+=+%28+1+%2B-+sqrt%28+37+%29%29%2F+3+\"$
\n" ); document.write( "The answers are:
\n" ); document.write( " $\"x+=+%281+%2B+sqrt%2837%29%29%2F3\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x+=+%281+-+sqrt%2837%29%29%2F3\"$
\n" ); document.write( "It's a difficult process, but you can plug
\n" ); document.write( "these answers (one at a time) back into the
\n" ); document.write( "original equation and see if they work\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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