document.write( "Question 373550: Solve by completing the square.\r
\n" ); document.write( "\n" ); document.write( " $\"4p%5E2%2B6p%2B3=0\"$ \n" ); document.write( "

Algebra.Com's Answer #265857 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"4p%5E2+%2B+6p+%2B+3+=+0\"$
\n" ); document.write( " $\"4p%5E2+%2B+6p+=+-3\"$
\n" ); document.write( " $\"p%5E2+%2B+%283%2F2%29%2Ap+=+-3%2F4\"$
\n" ); document.write( "Take 1/2 of the coefficient of $\"p\"$ ,
\n" ); document.write( "square it, and add to both sides
\n" ); document.write( " $\"p%5E2+%2B+%283%2F2%29%2Ap+%2B+%283%2F4%29%5E2+=+-3%2F4+%2B+%283%2F4%29%5E2\"$
\n" ); document.write( " $\"%28p+%2B+3%2F4%29%5E2+=+9%2F16+-+12%2F16\"$
\n" ); document.write( " $\"%28p+%2B+3%2F4%29%5E2+=+%28sqrt%283%29%2Ai%2F4%29%5E2\"$
\n" ); document.write( " $\"p+%2B+3%2F4+=+sqrt%283%29%2Ai%2F4\"$
\n" ); document.write( " $\"p+=+%28-3+%2B+sqrt%283%29%2Ai%29%2F4\"$
\n" ); document.write( "and
\n" ); document.write( " $\"p+=+%28-3+-sqrt%283%29%2Ai%29%2F4\"$
\n" ); document.write( " \n" ); document.write( "

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