document.write( "Question 2823: When are there two solutions in quadratic equations??? \n" ); document.write( "
Algebra.Com's Answer #1222 by AnlytcPhil(1806)\"\" \"About 
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>>When are there two solutions in quadratic equations???<<
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document.write( "Every quadratic equation\r\n" );
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document.write( "\"ax%5E2+%2B+bx+%2B+c+=+0\"\r\n" );
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document.write( "has either\r\n" );
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document.write( "1. Two real solutions\r\n" );
document.write( "2. One real solution\r\n" );
document.write( "3. Two conjugate imaginary solutions\r\n" );
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document.write( "The quadratic equation:\r\n" );
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document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"  \r\n" );
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document.write( "has two real solutions when the \" ± \" part gives two different \r\n" );
document.write( "answers, one for the + and another for the -.  This will always \r\n" );
document.write( "be the case when the radicand, or \"discriminant\",\r\n" );
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document.write( "\"b%5E2+-+4ac\"¹0 \r\n" );
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document.write( "If \r\n" );
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document.write( "\"b%5E2+-+4ac\" > 0, the two solutions are real, and when\r\n" );
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document.write( "\"b%5E2+-+4ac\" < 0, the two solutions are conjugate imaginary\r\n" );
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document.write( "However, if \r\n" );
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document.write( "\"b%5E2+-+4ac\" = 0, there is but one real solution, because the\r\n" );
document.write( "\"±\" part is \"±0\", and whether we add 0 or subtract 0, we still \r\n" );
document.write( "get the same number.\r\n" );
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\n" ); document.write( "Edwin J\r
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