document.write( "Question 1173138: please help\r
\n" ); document.write( "\n" ); document.write( "Solve the quadratic equation by completing the square.\r
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\n" ); document.write( "\n" ); document.write( "x^2+6x+7=0\r
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Algebra.Com's Answer #798313 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 + 6x + 7 = 0\r\n" );
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document.write( "The term 6x says you that the expected square term should be {x+3)^2 = x^2 + 6x + 9\r\n" );
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document.write( "So we add 2 to both sides\r\n" );
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document.write( "    x^2 + 6x + 7 + 2 = 2,   or\r\n" );
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document.write( "    x^2 + 6x + 9 = 2.\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 + 3)^2 = 2.\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 + 3 = +/- \r\n" );
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document.write( "Your last step is to move 3 from the left side to the right, changing the sign\r\n" );
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document.write( "    x = -3 +/- .\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 = -3 +   and  x = -3 - .\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( "My congrats, if you learn it for the first time (!)\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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