document.write( "Question 574640: -16t^2-12t=2
\n" ); document.write( "I know the answer but I need help figuring out how to get to the answer. Thank you. \n" ); document.write( "

Algebra.Com's Answer #369191 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+-16t%5E2+-+12t+=+2+\"$
\n" ); document.write( "Divide both sides by $\"2\"$
\n" ); document.write( " $\"+-8t%5E2+-+6t+=+1+\"$
\n" ); document.write( "Divide both sides by $\"+-8+\"$
\n" ); document.write( " $\"+t%5E2+%2B+%283%2F4%29%2At+=+-%281%2F8%29+\"$
\n" ); document.write( "Complete the square
\n" ); document.write( "Take $\"+1%2F2+\"$ of the coefficient of $\"x\"$ ,
\n" ); document.write( "square it, and add it to both sides
\n" ); document.write( " $\"+t%5E2+%2B+%283%2F4%29%2At+%2B+%283%2F8%29%5E2+=+-%281%2F8%29+%2B+%283%2F8%29%5E2+\"$
\n" ); document.write( " $\"+%28+t+%2B+3%2F8+%29%5E2+=+-8%2F64+%2B+9%2F64+\"$
\n" ); document.write( " $\"+%28+t+%2B+3%2F8+%29%5E2+=+1%2F64+\"$
\n" ); document.write( "take the square root of both sides ( both + and - roots )
\n" ); document.write( " $\"+t+%2B+3%2F8+=+1%2F8+\"$
\n" ); document.write( " $\"+t+=+-%281%2F4%29+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+t+%2B+3%2F8+=+-%281%2F8%29+\"$
\n" ); document.write( " $\"+t+=+-%281%2F2%29+\"$
\n" ); document.write( "----------------
\n" ); document.write( "check the answers:
\n" ); document.write( " $\"+-16t%5E2+-+12t+=+2+\"$
\n" ); document.write( " $\"+-16%28-1%2F4%29%5E2+-+12%2A%28-1%2F4%29+=+2+\"$
\n" ); document.write( " $\"+-1+%2B+3+=+2+\"$
\n" ); document.write( " $\"+2+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+-16%2A%28-1%2F2%29%5E2+-+12%2A%28-1%2F2%29+=+2+\"$
\n" ); document.write( " $\"+-4+%2B+6+=+2+\"$
\n" ); document.write( " $\"+2+=+2+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );