Without Actually Determining the Roots Comment Upon the Nature of the Roots of Each of the Following Equations: X2 + 5x + 15 = 0.

Without actually determining the roots comment upon the nature of the roots of each of the following equations:
x²+ 5x + 15 = 0.

Sum

x²+ 5x + 15 = 0
Here, aa= 1, b = 5 and c = 15
D = b² - 4ac
= (5)²- 4 x 1 x 15
= 25 - 60
= -35
⇒ D < 0
roots are imaginary.

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