document.write( "Question 24740: how do i Solve by completing the square of x2 - 4x - 5 = 0 \n" ); document.write( "
Algebra.Com's Answer #13202 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Begin by adding 5 to each side to get the variables alone on the left side:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Prepare to add a number to each side of the equation that will make the left side of the equation a perfect square trinomial. I like to add a blank space to each side to set this up. Notice that in the process of completing the square, the coefficient of x^2 MUST BE 1. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, to make the perfect square trinomial, you need to take HALF of the coefficient of x, which is -4. Half of -4 is -2, and then SQUARE the -2, which is +4. Add PLUS 4 to each side of the equation:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Next, take the square root of each side: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Finally, add +2 to each side to isolate the x term: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This really means: \n" ); document.write( "x= 2+3 = 5 OR \n" ); document.write( "x= 2-3 = -1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 at SCC\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P.S. Of course, factoring WOULD have been a LOT easier!!!\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |