document.write( "Question 139569: What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. \r
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Algebra.Com's Answer #101759 by Edwin McCravy(20055) $\"\"$ $\"About$

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What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer.
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document.write( "I will give all three cases and examples.  The answer to\r\n" );
document.write( "your question is case 2 below, because  is the\r\n" );
document.write( "same as saying  is negative.\r\n" );
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document.write( "The quadratic equation\r\n" );
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document.write( "has solution\r\n" );
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document.write( "The expression under the radical is called\r\n" );
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document.write( "the discriminant \r\n" );
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document.write( "So that makes the solution\r\n" );
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document.write( "Since the value of  is under the radical\r\n" );
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document.write( "1. if D is positive, there are two different real solutions\r\n" );
document.write( "2. if D is negative, there are two conjugate complex (imaginary) solutions\r\n" );
document.write( "3. if D is zero, there is ONE solution with multiplicity 2.\r\n" );
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document.write( "Example 1:  \r\n" );
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document.write( "Here , , \r\n" );
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document.write( "Since D is a positive number, 24, then if\r\n" );
document.write( " were to be solved there would be\r\n" );
document.write( "two different real solutions.\r\n" );
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document.write( "Example 2:  \r\n" );
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document.write( "Here , , \r\n" );
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document.write( "Since D is a negative number, -92, then if\r\n" );
document.write( " were to be solved there would be\r\n" );
document.write( "two conjugate complex (imaginary) solutions.\r\n" );
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document.write( "Example 3:  \r\n" );
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document.write( "Here , , \r\n" );
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document.write( "Therefore if  is solved there will be\r\n" );
document.write( "ONE solution with multiplicity 2.\r\n" );
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document.write( "Edwin

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