Without Actually Determining the Roots Comment Upon the Nature of the Roots of Each of the Following Equations: X2 - 5x + 7 = 0

Without actually determining the roots comment upon the nature of the roots of each of the following equations:
x² - 5x + 7 = 0

Sum

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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