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Question
Determine the nature of root of the following:
x2 − 4x + 2 = 0
Sum
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Solution
Given:
x2 − 4x + 2 = 0
Identify the coefficients
a = 1
b = −4
c = 2
D = b2 − 4ac
D = (−4)2 − 4(1)(2)
= 16 − 8
= 8
Discriminant D = 8 > 0
But 8 is not a perfect square
The roots are real, irrational, and unequal.
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Chapter 5: Quadratic equations - Exercise 5D [Page 77]
