document.write( "Question 140384: Solve 2x*squared* - 5x=5 by completing the square. \n" ); document.write( "
Algebra.Com's Answer #102250 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Solve 2x*squared* - 5x=5 by completing the square.
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\n" ); document.write( "2x^2 - 5x + ___ = 5
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\n" ); document.write( "Divide the equation by 2 to make the coefficient of x^2 = 1
\n" ); document.write( "x^2 - (5/2)x + ___ = 5/2
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\n" ); document.write( "Divide 5/2 by 2 and square it to complete the square, add to both sides
\n" ); document.write( "x^2 - (5/2)x + 25/16 = 5/2 + 25/16
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\n" ); document.write( "x^2 - (5/2)x + 25/16 = 40/16 + 25/16
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\n" ); document.write( "x^2 - (5/2)x + 25/16 = 65/16
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\n" ); document.write( "(x - \"5%2F4\")^2 = \"65%2F16\"
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\n" ); document.write( "x - \"5%2F4\" = +/-\"sqrt%2865%2F16%29\"
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\n" ); document.write( "x - \"5%2F4\" = +/-\"%281%2F4%29sqrt%2865%29\"
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\n" ); document.write( "x = \"5%2F4\" +/-\"%281%2F4%29sqrt%2865%29\"
\n" ); document.write( "You can write it:
\n" ); document.write( "x = \"%285+%2B+sqrt%2865%29%29%2F4\"
\n" ); document.write( "and
\n" ); document.write( "x = \"%285+-+sqrt%2865%29%29%2F4\"
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