document.write( "Question 308462: Solve by completing the square.\r
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document.write( "x^2-18x=-106 \n" );
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Algebra.Com's Answer #220587 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Solve by completing the square. \n" ); document.write( "x^2 - 18x = -106 \n" ); document.write( ": \n" ); document.write( "x^2 - 18x + ___ = -106 \n" ); document.write( "Find the third term to complete the square: using the coefficient of x: (18/2)^2 = 81 \n" ); document.write( "Add 81 to both sides \n" ); document.write( "x^2 - 18x + 81 = -106 + 81 \n" ); document.write( ": \n" ); document.write( "x^2 - 18x = 81 = -25 \n" ); document.write( ": \n" ); document.write( "(x - 9)^2 = -25 \n" ); document.write( ": \n" ); document.write( "Find the square root of both sides \n" ); document.write( "x - 9 = +/- \n" ); document.write( "using i \n" ); document.write( "x - 9 = +/- 5i \n" ); document.write( "two solutions \n" ); document.write( "x = 9 + 5i \n" ); document.write( "and \n" ); document.write( "x = 9 - 5i\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |