document.write( "Question 518211: solve the quadratic equation 4x*2+16x+17=0
\n" ); document.write( "x=(-16(+-)4i)/2 \n" ); document.write( "

Algebra.Com's Answer #345094 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+4x%5E2+%2B+16x+%2B+17+=+0+\"$
\n" ); document.write( "Divide both sides by $\"+4+\"$
\n" ); document.write( " $\"+x%5E2+%2B+4x+%2B+17%2F4+=+0+\"$
\n" ); document.write( " $\"+x%5E2+%2B+4x+=+-17%2F4+\"$
\n" ); document.write( "To complete the square, take 1/2
\n" ); document.write( "of the coefficient of x, square it,
\n" ); document.write( "and add it to both sides
\n" ); document.write( " $\"+x%5E2+%2B+4x+%2B+%284%2F2%29%5E2+=+-17%2F4+%2B+%284%2F2%29%5E2+\"$
\n" ); document.write( " $\"+x%5E2+%2B+4x+%2B+4+=+-17%2F4+%2B+16%2F4+\"$
\n" ); document.write( " $\"+%28+x+%2B+2+%29%5E2+=+-1%2F4+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"+x+%2B+2+=+i%2F2+\"$
\n" ); document.write( " $\"+x+=+%28+-4+%2B+i+%29%2F2+\"$
\n" ); document.write( "and, also
\n" ); document.write( " $\"+x+=+%28+-4+-+i+%29%2F2+\"$
\n" ); document.write( "These answers seem to check out \n" ); document.write( "

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