document.write( "Question 545970: I don't understand this problem confused it asked to solve the quadratic equation by completing the statement.
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document.write( "x2^-14x=-45 \n" );
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Algebra.Com's Answer #355798 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! solve the quadratic equation by completing the statement. \n" ); document.write( "x^2 - 14x = -45 \n" ); document.write( "I think they may mean by \"completing the square\" \n" ); document.write( "x^2 - 14x + ____ = -45 \n" ); document.write( "To complete the square, we divide the coefficient of x by 2 and square it \n" ); document.write( "That would be 14/2 = 7, 7^2 = 49, so we have \n" ); document.write( "x^2 - 14x + 49 = -45 + 49, we have to add 49 to both sides \n" ); document.write( "x^2 - 14x + 49 = 4 \n" ); document.write( "Which is \n" ); document.write( "(x-7)^2 = 4 \n" ); document.write( "Find the square root of both sides \n" ); document.write( "x - 7 = +/- \n" ); document.write( "x - 7 = +/- 2 \n" ); document.write( "Two solutions \n" ); document.write( "x = 7 + 2 \n" ); document.write( "x = 9 \n" ); document.write( "and \n" ); document.write( "x = 7 - 2 \n" ); document.write( "x = 5 \n" ); document.write( " \n" ); document.write( " |