document.write( "Question 96676: Solve the quadratic equations by completing the square.\r
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document.write( "x^2-6x-3=0\r
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document.write( "This one I do not have any idea.\r
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document.write( "Thank you for your help. \n" );
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Algebra.Com's Answer #70391 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! completing the square means turning the quadratic into a \"perfect square\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "first, (using addition or subtraction) move the constant term to the other side of the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2-6x=3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "next, (using multiplication or division) set the x^2 coefficient equal to 1 ... already done here\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "next, square 1/2 of the x term coefficient and add it to both sides ... -6/2=-3 ... (-3)^2=9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2-6x+9=12 ... (x-3)^2=12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "next, take the square root of both sides ... remembering that square roots are + and -\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x-3=sqrt(12) ... x-3=2(sqrt(3)) ... so x=3+2(sqrt(3)) and x=3-2(sqrt(3))\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |