document.write( "Question 778862: Complete the square\r
\n" ); document.write( "\n" ); document.write( "2x^2-3x-8 \n" ); document.write( "

Algebra.Com's Answer #474928 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+2x%5E2+-+3x+-+8+=+0+\"$
\n" ); document.write( " $\"+2x%5E2+-+3x+=+8+\"$
\n" ); document.write( " $\"+x%5E2+-+%283%2F2%29%2Ax+=+4+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Take 1/2 of the coefficient of the x-term,
\n" ); document.write( "square it, and add it to both sides
\n" ); document.write( " $\"+x%5E2+-+%283%2F2%29%2Ax+%2B+%283%2F4%29%5E2+=+4+%2B+%283%2F4%29%5E2+\"$
\n" ); document.write( " $\"+x%5E2+-+%283%2F2%29%2Ax+%2B+9%2F16+=+64%2F16+%2B+9%2F16++\"$
\n" ); document.write( " $\"+%28+x+-++3%2F4+%29%5E2+=+73%2F16+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"+x+-+3%2F4+=+sqrt%2873%29%2F4+\"$
\n" ); document.write( " $\"+x++=+%28+3+%2B+sqrt%2873+%29%29+%2F+4+\"$
\n" ); document.write( "---------------
\n" ); document.write( "Now take the (-) square root of the right side
\n" ); document.write( " $\"+x+-+3%2F4+=+-+sqrt%2873+%29+%2F+4++\"$
\n" ); document.write( " $\"+x+=+%28+3+-+sqrt%2873%29%29+%2F+4+\"$
\n" ); document.write( "---------------
\n" ); document.write( "check:
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\n" ); document.write( "

\n" ); document.write( " $\"+x%5E2+-+%283%2F2%29%2Ax++-+4+=+0+\"$
\n" ); document.write( " $\"+2x%5E2+-+3x+-+8+=+0+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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