document.write( "Question 336454: how do you use the quadratic formula? \n" ); document.write( "
Algebra.Com's Answer #241176 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
how do you use the quadratic formula?
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document.write( "You first get the equation in this form with the \"red%28A%29\" positive:\r\n" );
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document.write( "\"red%28A%29x%5E2+%2B+blue%28B%29x+%2B+green%28C%29+=+0\"\r\n" );
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document.write( "then you substitute in this\r\n" );
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document.write( "Then you simplify and you get two answers, one using the + and\r\n" );
document.write( "one using the -.\r\n" );
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document.write( "Example:\r\n" );
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document.write( "\"-blue%289%29x+-red%283%29x%5E2+=+green%282%29\"\r\n" );
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document.write( "Write it in descending order on the left with only 0 on the right:\r\n" );
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document.write( "\"-red%283%29x%5E2+-+blue%289%29x+-+green%282%29+=+0\"\r\n" );
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document.write( "Multiply through by -1 to make the first term \"red%28A%29\" positive:\r\n" );
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document.write( "\"red%283%29x%5E2+%2B+blue%289%29x+%2B+green%282%29+=+0\"\r\n" );
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document.write( "Now simplify:\r\n" );
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document.write( "\"x+=+%28-9+%2B-+sqrt%289%5E2-4%2A3%2A2%29+%29%2F6+\"\r\n" );
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document.write( "\"x+=+%28-9+%2B-+sqrt%2881-24%29+%29%2F6+\"\r\n" );
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document.write( "\"x+=+%28-9+%2B-+sqrt%2857%29+%29%2F6+\"\r\n" );
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document.write( "The two solutions are:\r\n" );
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document.write( "\"x+=+%28-9+%2B+sqrt%2857%29+%29%2F6+\" and \"x+=+%28-9+-+sqrt%2857%29+%29%2F6+\"\r\n" );
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document.write( "You can get the approximate decimal values with a calculator:\r\n" );
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document.write( "\"x+=+-.2416942608+\"  and \"x+=+-2.758305739+\"\r\n" );
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document.write( "Edwin
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