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Question
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
x2 - 5x + 7 = 0
Solution
x2 - 5x + 7 = 0
Here, a = 1, b = -5 and c = 7
D = b2 - 4ac
⇒ 25 - 4 x 1 x 7.
⇒ 25 - 28
= -3
Since D < 0 roots are imaginary.
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