document.write( "Question 834607: discriminant to determine the nature of the roots of x^2 + 2x + 5 = 0\r
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Algebra.Com's Answer #503233 by richard1234(7193) $\"\"$ $\"About$

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The discriminant

of a quadratic in the form

, where a, b, c are reals, is

.\r
\n" ); document.write( "\n" ); document.write( "If

0\">, the quadratic has two distinct real roots.\r
\n" ); document.write( "\n" ); document.write( "If

, the quadratic has one real double root.\r
\n" ); document.write( "\n" ); document.write( "If

, the quadratic has two distinct non-real roots.\r
\n" ); document.write( "\n" ); document.write( "== \r
\n" ); document.write( "\n" ); document.write( "For example, the discriminant of

. So the quadratic has two distinct non-real roots. \n" ); document.write( "

\n" );