document.write( "Question 1207406: Use the discriminant to determine whether each quadratic equation has two unequal real solutions,a repeated real solution,or no real solution,without solving the equation.\r
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\n" ); document.write( "\n" ); document.write( "x^2 + 4x + 7 = 0\r
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\n" ); document.write( "\n" ); document.write( "I know the discriminant is the radicand of the quadratic formula.\r
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\n" ); document.write( "\n" ); document.write( "So, I need to use b^2 - 4ac where a = 1, b = 4 and c = 7.\r
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\n" ); document.write( "\n" ); document.write( "b^2 - 4ac\r
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\n" ); document.write( "\n" ); document.write( "(4)^2 - 4(1)(7)\r
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\n" ); document.write( "\n" ); document.write( "16 - 28 = -12\r
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\n" ); document.write( "\n" ); document.write( "The answer is -12.\r
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\n" ); document.write( "\n" ); document.write( "The discriminant is negative, which means the equation has no real solution.\r
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\n" ); document.write( "\n" ); document.write( "You say? \r
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Algebra.Com's Answer #845261 by ikleyn(52777) $\"\"$ $\"About$

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document.write( "(1)  Yes.\r\n" );
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document.write( "(2)  Example of repeated solutions\r\n" );
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document.write( "         = 0,\r\n" );
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document.write( "     which is the same as\r\n" );
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document.write( "         = 0.\r\n" );
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document.write( "(3)  Example of \"no solutions\"\r\n" );
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document.write( "         + 1 = 0,\r\n" );
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document.write( "     which is the same as\r\n" );
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document.write( "         = 0.\r\n" );
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