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The equation $x^2 + 2x + 5 = 0$ has
Atwo distinct real roots
Btwo equal real roots
Cone real root
Dno real roots
Answer & Solution
Correct answer: D. no real roots
1. $D=b^2-4ac=2^2-4(1)(5)=4-20=-16$.
2. Since $D<0$, the equation has **no real roots**.
3. Its roots are non-real (complex).
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch10 'Quadratic Equations', §10.4_
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