document.write( "Question 693157: List the stepes for solving the equation x^2 -9= -8x by completing the square method. Explain each step \n" ); document.write( "
Algebra.Com's Answer #427303 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! List the stepes for solving the equation x^2 -9= -8x by completing the square method. Explain each step \n" ); document.write( ": \n" ); document.write( "x^2 -9 = -8x \n" ); document.write( "write it like this, leaving a space for the value that will complete the square \n" ); document.write( "x^2 + 8x + ____ = 9 \n" ); document.write( ": \n" ); document.write( "To complete the square, divide the coefficient of x by 2, and square it \n" ); document.write( "In this equation 8/2 = 4, squared is 16, so we add 16 to both sides \n" ); document.write( "x^2 + 8x + 16 = 9 + 16 \n" ); document.write( "x^2 + 8x + 16 = 25 \n" ); document.write( ": \n" ); document.write( "we know x^2 + 8x + 16 = (x+4)^2, so write it \n" ); document.write( "(x + 4)^2 = 25 \n" ); document.write( "; \n" ); document.write( "Find the square root of both sides \n" ); document.write( "x + 4 = +/- \n" ); document.write( ": \n" ); document.write( "Subtract 4 from both sides \n" ); document.write( "x = - 4 +/- \n" ); document.write( "Two solutions \n" ); document.write( "x = - 4 + 5 \n" ); document.write( "x = 1 \n" ); document.write( "and \n" ); document.write( "x = - 4 - 5 \n" ); document.write( "x = -9 \n" ); document.write( " |