document.write( "Question 83144: I have tried these problems on completing the square and I really do not get them. The instructions say this only:\r
\n" ); document.write( "\n" ); document.write( "Complete the square. Do not solve for x\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B10x+%2B+__\" and
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\"x%5E2+-3x+%2B+__\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "thank you!
\n" ); document.write( "

Algebra.Com's Answer #59688 by Mona27(45)\"\" \"About 
You can put this solution on YOUR website!
To change a normal quadratic into the completed square form, first take half the coefficient of x (10) and place it in a bracket like this:
\n" ); document.write( "\"%28x%2B5%29%5E2\"
\n" ); document.write( "Expanding this expression gives:
\n" ); document.write( "\"x%5E2%2B10x%2B25\"
\n" ); document.write( "Since we don't need the last term, we eliminate it by subtraction:
\n" ); document.write( "\"%28x%2B5%29%5E2-25\"
\n" ); document.write( "and finally you add whatever that last term (a) is:
\n" ); document.write( "\"%28x%2B5%29%5E2-25%2Ba\"
\n" ); document.write( "This method applies to the second example even if the coefficient of x is not divisible by 2:
\n" ); document.write( "\"%28x%2B3%2F2%29%5E2-9%2F4%2Bb\"
\n" ); document.write( "
\n" );