document.write( "Question 969850: Solve by completing the square. x^2-6x-4=0 \n" ); document.write( "

Algebra.Com's Answer #592574 by erica65404(394) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E2-6x-4=0\"$
\n" ); document.write( "The first thing you want to do when completing the square is find b.
\n" ); document.write( " $\"ax%5E2%2Bbx%2Bc=0\"$ can be used to find b in a trinomial.
\n" ); document.write( "when you look at the equation you were given you can see that b = -6.
\n" ); document.write( "now take the absolute value of b which would be 6 and divide it by 2.
\n" ); document.write( "This gives you 3.
\n" ); document.write( "Then square this number.
\n" ); document.write( "This gives you 9.
\n" ); document.write( "add 9 to each side of the equation
\n" ); document.write( " $\"x%5E2-6x%2B9-4=0%2B9\"$
\n" ); document.write( "This part of the equation $\"x%5E2-6x%2B9\"$ can be factored into $\"%28x-3%29%28x-3%29\"$
\n" ); document.write( "This is the same as $\"%28x-3%29%5E2\"$ .
\n" ); document.write( "now you have the equation $\"%28x-3%29%5E2+-4=9\"$
\n" ); document.write( "Solve for x
\n" ); document.write( " $\"%28x-3%29%5E2+-4=9\"$
\n" ); document.write( " $\"%28x-3%29%5E2=13\"$
\n" ); document.write( " $\"x-3+=+%2B-+sqrt%2813%29\"$
\n" ); document.write( " $\"x=+3+%2B-+sqrt%2813%29\"$
\n" ); document.write( "The answers are $\"x=+3+%2B+sqrt%2813%29\"$ and $\"x=+3+-+sqrt%2813%29\"$ \n" ); document.write( "

\n" );