document.write( "Question 1205823: x2 − 10x + 24 = 0 \n" ); document.write( "

Algebra.Com's Answer #842864 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "      It can be solved by completing the square method\r\n" );
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document.write( "x^2 - 10x + 24 = 0\r\n" );
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document.write( "(x^2 - 2*5x + 25) - 25 + 24 = 0\r\n" );
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document.write( "(x-5)^2 - 1 = 0\r\n" );
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document.write( "(x-5)^2 = 1\r\n" );
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document.write( "x-5 = +/- 1   (after taking square root from both sides)\r\n" );
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document.write( "x = 5 +/- 1.\r\n" );
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document.write( "ANSWER.  The given equation has two solutions.  One solution is   5-1 = 4.\r\n" );
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document.write( "                                                Other solution is 5+1 = 6.\r\n" );
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document.write( "      Alternatively, it can be solved by factoring\r\n" );
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document.write( "x^2 - 10x + 24 = 0\r\n" );
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document.write( "(x-4)*(x-6) = 24    <<<---===  factoring is made MENTALLY in your head.\r\n" );
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document.write( "giving the same roots 4 and 6.\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to see many other similar and different problems on solving quadratic equations,
\n" ); document.write( "look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Introduction into Quadratic Equations\r
\n" ); document.write( "\n" ); document.write( "    - PROOF of quadratic formula by completing the square\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO complete the square - Learning by examples \r
\n" ); document.write( "\n" ); document.write( "    - HOW TO solve quadratic equation by completing the square - Learning by examples \r
\n" ); document.write( "\n" ); document.write( "    - Solving quadratic equations without quadratic formula\r
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\n" ); document.write( "\n" ); document.write( "You will find there many problems, solved using the quadratic formula, completing the square and factoring.\r
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\n" ); document.write( "\n" ); document.write( "Learn the subject from there and become an expert in the area.\r
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\n" ); document.write( "\n" ); document.write( "        Come again to this forum soon to learn something new ( ! )\r
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