document.write( "Question 1058267: I thought the last solution (to subtract 8 from each side) was what my teacher wanted, but they're actually asking me to \"Solve by completing the square\" for this equation: 9x^2+6x=8\r
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Algebra.Com's Answer #673307 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+9x%5E2+%2B+6x+=+8+\"$
\n" ); document.write( "Divide both sides by $\"+9+\"$
\n" ); document.write( " $\"+x%5E2+%2B+%282%2F3%29%2Ax+=+8%2F9+\"$
\n" ); document.write( "Take 1/2 of the coefficient of the $\"x\"$
\n" ); document.write( "term, square it, and add it to both sides
\n" ); document.write( " $\"+x%5E2+%2B+%282%2F3%29%2Ax+%2B+%281%2F3%29%5E2+=+8%2F9+%2B+%281%2F3%29%5E2+\"$
\n" ); document.write( " $\"+x%5E2+%2B+%282%2F3%29%2Ax+%2B+1%2F9+=+8%2F9+%2B+1%2F9+\"$
\n" ); document.write( " $\"+x%5E2+%2B+%282%2F3%29%2Ax+%2B+1%2F9+=+1%0D%0A%7B%7B%7B+%28+x+%2B+1%2F3+%29%5E2+=+1%5E2+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"+x+%2B+1%2F3+=+1+\"$
\n" ); document.write( " $\"+x+=+2%2F3+\"$
\n" ); document.write( "and, taking the negative square root of $\"+1%5E2+\"$ ,
\n" ); document.write( " $\"+x+%2B+1%2F3+=+-1+\"$
\n" ); document.write( " $\"+x+=+-4%2F3+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "check the solutions:
\n" ); document.write( " $\"+%28+x+-+2%2F3+%29%2A%28+x+%2B+4%2F3+%29=+0+\"$
\n" ); document.write( " $\"+x%5E2+-+%282%2F3%29%2Ax+%2B+%284%2F3%29%2Ax+-+8%2F9+=+0+\"$
\n" ); document.write( " $\"+x%5E2+%2B+%282%2F3%29%2Ax+-+8%2F9+=+0+\"$
\n" ); document.write( "Multiply both sides by $\"+9+\"$
\n" ); document.write( " $\"+9x%5E2+%2B+6x+-+8+=+0+\"$
\n" ); document.write( " $\"+9x%5E2+%2B+6x+=+8+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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