document.write( "Question 1088722: Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 17 \n" ); document.write( "

Algebra.Com's Answer #703022 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+x%5E2+%2B+2x+=+17+\"$
\n" ); document.write( "Take 1/2 of the x term, square it,
\n" ); document.write( "and add it to both sides
\n" ); document.write( " $\"+x%5E2+%2B+2x+%2B+%282%2F2%29%5E2+=+17+%2B+%282%2F2%29%5E2+\"$
\n" ); document.write( " $\"+x%5E2+%2B+2x+%2B+1+=+18+\"$
\n" ); document.write( " $\"+%28+x+%2B+1+%29%5E2+=+%28+sqrt%2818%29+%29%5E2+\"$
\n" ); document.write( " $\"+x+%2B+1+=+sqrt%2818%29+\"$
\n" ); document.write( "--------------------------------
\n" ); document.write( " $\"+x+=+3%2Asqrt%282%29+-+1+\"$
\n" ); document.write( "and, taking the negative square root:
\n" ); document.write( " $\"+x+=+-3%2Asqrt%282%29++-+1+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+x%5E2+%2B+2x+=+17+\"$
\n" ); document.write( " $\"+%28+3%2Asqrt%282%29+-+1+%29%5E2+%2B+2%2A%28+3%2Asqrt%282%29+-+1+%29+=+17+\"$
\n" ); document.write( " $\"+18+-+6%2Asqrt%282%29+%2B+1+%2B+6%2Asqrt%282%29+-+2+=+17+\"$
\n" ); document.write( " $\"+18+-+2+%2B+1+=+17+\"$
\n" ); document.write( " $\"+17+=+17+\"$
\n" ); document.write( "OK
\n" ); document.write( "You can check the other solution
\n" ); document.write( " \n" ); document.write( "

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