document.write( "Question 100447: Could someone please help me with this equation??? Solve the quadratic equation bt completing the square.
\n" ); document.write( "\"x%5E2-6x-3=0\"
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Algebra.Com's Answer #73135 by doukungfoo(195)\"\" \"About 
You can put this solution on YOUR website!
Solve by completing the square
\n" ); document.write( "\"x%5E2-6x-3=0\"
\n" ); document.write( "First move the term without a variable to the other side of the equal sign
\n" ); document.write( "In this problem we'll move the 3
\n" ); document.write( "\"x%5E2-6x=3\"
\n" ); document.write( "Next divide all terms by the number with \"x%5E2\"
\n" ); document.write( "In this problem there is a 1 so essential we can skip this step.
\n" ); document.write( "But I will show the work just to be clear.
\n" ); document.write( "\"x%5E2-6x=3\"
\n" ); document.write( "\"%28x%5E2%29%2F1-%286x%29%2F1=3%2F1\"
\n" ); document.write( "\"x%5E2-6x=3\"
\n" ); document.write( "Now take half of the number with x and square it
\n" ); document.write( "The number with x in this problem is -6
\n" ); document.write( "Half of -6 is -3
\n" ); document.write( "-3 squared is 9
\n" ); document.write( "Now add 9 to both sides of the equal sign
\n" ); document.write( "\"x%5E2-6x%2B9=3%2B9\"
\n" ); document.write( "\"x%5E2-6x%2B9=12\"
\n" ); document.write( "Next factor the left hand side to convert it to its squared form
\n" ); document.write( "The left side of the equation is \"x%5E2-6x%2B9\"
\n" ); document.write( "this is converts to \"%28x-3%29%5E2\" because
\n" ); document.write( "\"%28x-3%29%28x-3%29=x%5E2-6x%2B9\"
\n" ); document.write( "So now our problem looks like this:
\n" ); document.write( "\"%28x-3%29%5E2=12\"
\n" ); document.write( "Next take the square root of both sides remember that the right side will be
\n" ); document.write( "plus or minus the square root
\n" ); document.write( "\"sqrt%28%28x-3%29%5E2%29=%28plus_minus%29sqrt%2812%29\"
\n" ); document.write( "\"x-3=%28plus_minus%29sqrt%2812%29\"
\n" ); document.write( "Finally solve for x
\n" ); document.write( "\"x=3-sqrt%2812%29\"
\n" ); document.write( "and
\n" ); document.write( "\"x=3%2Bsqrt%2812%29\"
\n" ); document.write( "These are the TWO answers for x\r
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