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Which of the following statements are true and which are false? In each case give a valid reason for your answer. (i)y: The quadratic equation x2 + x + 1 = 0 has no real roots
Which of the following statements are true and which are false? In each case give a valid reason for your answer.
(i)y: The quadratic equation x2 + x + 1 = 0 has no real roots
RS Agarwal Maths Class 11 Mathematical Reasoning
Which of the following statements are true and which are false? In each case give a valid reason for your answer.
(i)y: The quadratic equation x2 + x + 1 = 0 has no real roots

y: The quadratic equation x2 + x + 1 = 0 have no real roots is a TRUE statement.
General form of a quadratic equation is a

x2

+ bx + c = 0.
If 

b2

– 4ac < 0, there is no real solution.
In the given equation; x2 + x + 1 = 0
a= 1; b = 1; c = 1

b2

 – 4ac = 1 – 4 x 1 x 1 = -3 < 0
So, there is no real root.

i

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