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Which of the following equations has no real roots?

Class 10Nature of Roots (Discriminant)Quadratic Equations

A $x^{2} + 2 x + 5 = 0$
B $x^{2} - 4 x + 4 = 0$
C $x^{2} - 5 x + 6 = 0$
D $x^{2} - 9 = 0$

Step-by-Step Solution

For

x^{2} + 2 x + 5 : D = 4 - 20 = - 16 < 0

(no real roots). The others give

D = 0

, 1, 36 (all >= 0).

Answer: A)

x^{2} + 2 x + 5 = 0

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