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Question
Determine the nature of root of the following:
2x2 − 3x + 4 = 0
Sum
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Solution
Given:
2x2 − 3x + 4 = 0
Identify coefficients
a = 2
b = −3
c = 4
D = b2 − 4ac
D = (−3)2 − 4(2)(4)
= 9 − 32
= −23
D = −23 < 0
The roots are complex and unequal (non-real).
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Chapter 5: Quadratic equations - Exercise 5D [Page 77]
