document.write( "Question 904912: Please help me with this!\r
\n" ); document.write( "\n" ); document.write( "12x^2-5x-7=0, using completing the square.\r
\n" ); document.write( "\n" ); document.write( "Thank you! \n" ); document.write( "

Algebra.Com's Answer #548928 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+12x%5E2+-+5x+-+7+=+0+\"$
\n" ); document.write( " $\"+12x%5E2+-+5x+=+7+\"$
\n" ); document.write( " $\"+x%5E2+-+%285%2F12%29%2Ax+=+7%2F12+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "Take 1/2 the coefficient of the x term,
\n" ); document.write( "square it, and add it to both sides
\n" ); document.write( " $\"+x%5E2+-+%285%2F12%29%2Ax+%2B+%285%2F24%29%5E2+=+7%2F12+%2B+%285%2F24%29%5E2+\"$
\n" ); document.write( " $\"+x%5E2+-+%285%2F12%29%2Ax+%2B+25%2F576+=+336%2F576+%2B+25%2F576+\"$
\n" ); document.write( " $\"+x%5E2+-+%285%2F12%29%2Ax+%2B+25%2F576+=+361%2F576+\"$
\n" ); document.write( " $\"+%28+x+-+5%2F24+%29%5E2+=+%28+19%2F24+%29%5E2+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"+x+-+5%2F24+=+19%2F24+\"$
\n" ); document.write( " $\"+x+=+24%2F24+\"$
\n" ); document.write( " $\"+x+=+1+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+x+=+5%2F24+=+-19%2F24+\"$
\n" ); document.write( " $\"+x+=+-14%2F24+\"$
\n" ); document.write( " $\"+x+=+-7%2F12+\"$
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+x+-+1+%29%2A+%28+x+%2B+7%2F12+%29+\"$
\n" ); document.write( " $\"+x%5E2+-+x+%2B+%287%2F12%29%2Ax+-+7%2F12+=+0+\"$
\n" ); document.write( " $\"+x%5E2+-+%285%2F12%29%2Ax+-+7%2F12+=+0+\"$
\n" ); document.write( " $\"+12x%5E2+-+5x+-+7+=+0+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );