document.write( "Question 1173199: Please help \r
\n" ); document.write( "\n" ); document.write( "Solve the quadratic equation by completing the square.\r
\n" ); document.write( "\n" ); document.write( " $\"+x%5E2-4x-6=0+\"$ \n" ); document.write( "

Algebra.Com's Answer #798379 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "You start with\r\n" );
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document.write( "    x^2 - 4x - 6 = 0\r\n" );
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document.write( "The term  \"-4x \"  says you that the expected square term should be {x-2)^2 = x^2 - 4x + 4\r\n" );
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document.write( "So we add 10 to both sides\r\n" );
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document.write( "    x^2 - 4x + 10 - 6 = 10,   or\r\n" );
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document.write( "    x^2 - 4x + 4 = 10.\r\n" );
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document.write( "In the left side you just have the desired square:\r\n" );
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document.write( "    {x - 2)^2 = 10.\r\n" );
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document.write( "Now take the square root from both sides\r\n" );
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document.write( "    x - 2 = +/- \r\n" );
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document.write( "Your last step is to move -2 from the left side to the right, changing the sign\r\n" );
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document.write( "    x = 2 +/- .\r\n" );
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document.write( "The problem is just solved.\r\n" );
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document.write( "ANSWER.  The given equation has two roots  x = 2 +   and  x = 2 - .\r\n" );
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\n" ); document.write( "\n" ); document.write( "So, we solved the equation by completing the square method.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - HOW TO solve quadratic equation by completing the square - Learning by examples \r
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\n" ); document.write( "\n" ); document.write( "Do not miss this opportunity - - - it will make your horizon wider (!)\r
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