document.write( "Question 419231: x^2+2X=2 how do I complete the square? \n" ); document.write( "
Algebra.Com's Answer #293222 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+x%5E2+%2B+2x+=+2+\"
\n" ); document.write( "Take 1/2 of the coefficient of \"x\", square it,
\n" ); document.write( "and add it to both sides
\n" ); document.write( "\"x%5E2+%2B+2x+%2B+%282%2F2%29%5E2+=+2+%2B+%282%2F2%29%5E2+\"
\n" ); document.write( "\"x%5E2+%2B+2x+%2B+1+=+2+%2B+1+\"
\n" ); document.write( "The left side is now a perfect square
\n" ); document.write( "\"+%28x+%2B+1%29%5E2++=+3+\"
\n" ); document.write( "Now take the square root of both sides
\n" ); document.write( "\"+x+%2B+1+=+sqrt%283%29+\"
\n" ); document.write( "\"x+=+-1+%2B+sqrt%283%29+\" answer
\n" ); document.write( "and
\n" ); document.write( "\"+x+%2B+1+=+-+sqrt%283%29+\"
\n" ); document.write( "\"x+=+-1+-+sqrt%283%29+\" answer
\n" ); document.write( "------------------
\n" ); document.write( "These 2 answers are the roots. You can check
\n" ); document.write( "your work this way:
\n" ); document.write( "\"+x+=+r1\"
\n" ); document.write( "\"x+=+r2\"
\n" ); document.write( "so,
\n" ); document.write( "\"x+-+r1+=+0\"
\n" ); document.write( "\"x+-+r2+=+0\"
\n" ); document.write( "so,
\n" ); document.write( "\"x+-+%28-1+%2B+sqrt%283%29%29++=+0\"
\n" ); document.write( "\"x+-+%28-1+-+sqrt%283%29%29++=+0\"
\n" ); document.write( "so,
\n" ); document.write( "\"+%28x+%2B+1+-+sqrt%283%29%29+%2A+%28x+%2B+1+%2B+sqrt%283%29%29+=+0\"
\n" ); document.write( "Multiplying this out,
\n" ); document.write( "
\n" ); document.write( "\"+x%5E2+%2B+2x+-+2+=+0+\"
\n" ); document.write( "\"+x%5E2+%2B+2x+=+2+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );