document.write( "Question 197469: Can someone help me with this problem: x^2 + 3/2x = 3 \n" ); document.write( "

Algebra.Com's Answer #148080 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+x%5E2+%2B+3%2F2x+=+3\"$
\n" ); document.write( "Complete the square
\n" ); document.write( " $\"x%5E2+%2B+%283%2F2%29%2Ax+%2B+%283%2F4%29%5E2+=+3+%2B+%283%2F4%29%5E2\"$
\n" ); document.write( " $\"x%5E2+%2B+%283%2F2%29%2Ax+%2B+9%2F16+=+48%2F16+%2B+9%2F16\"$
\n" ); document.write( "The left side is a perfect square
\n" ); document.write( " $\"%28x+%2B+%283%2F4%29%29%5E2+=+57%2F16\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"x+%2B+3%2F4+=++0+%2B-+sqrt%2857%29%2F4\"$
\n" ); document.write( " $\"x+=+%28-3+%2B+sqrt%2857%29%29+%2F+4\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x+=+%28-3+-+sqrt%2857%29%29+%2F+4\"$
\n" ); document.write( "---------------------
\n" ); document.write( "I checked one solution with pencil&paper
\n" ); document.write( "OK \n" ); document.write( "

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