document.write( "Question 528491: Could someone please show me how to solve by completing the square? x^2+3/2 x=3 \n" ); document.write( "

Algebra.Com's Answer #349306 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "x² + x = 3\r\n" );
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document.write( "Multiply the coefficient of x, which is  by , getting .\r\n" );
document.write( "Now square , getting  = \r\n" );
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document.write( "Add + to both sides of the equation:\r\n" );
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document.write( "x² + x +  = 3 + \r\n" );
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document.write( "The left side will now factor as (x + )(x + ) or (x + )².  So we have:\r\n" );
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document.write( "(x + )² = 3 + \r\n" );
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document.write( "We will combine the terms on the right by getting the LCD of 16.\r\n" );
document.write( "Then 3 +  becomes  +  or .\r\n" );
document.write( "So we now have:\r\n" );
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document.write( "(x + )² = \r\n" );
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document.write( "Next we use the principle of square roots:\r\n" );
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document.write( "x +  = ±\r\n" );
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document.write( "x +  = ±\r\n" );
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document.write( "Solve for x by adding  to both sides:\r\n" );
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document.write( "      x =  ± \r\n" );
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document.write( "or you can write it:\r\n" );
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document.write( "      x = \r\n" );
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document.write( "Edwin

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