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Question
Determine the nature of root of the following:
x2 + x + 1 = 0
Sum
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Solution
Given:
x2 + x + 1 = 0
Identify the coefficients
a = 1
b = 1
c = 1
D = b2 − 4ac
D = (1)2 − 4(1)(1)
= 1 − 4
= −3
Discriminant D = −3 < 0
The roots are complex (imaginary) and unequal.
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Chapter 5: Quadratic equations - Exercise 5D [Page 77]
