Find the discriminant of the following equations and hence find the nature of roots: 7x2 + 8x + 2 = 0

Find the discriminant of the following equations and hence find the nature of roots: 7x² + 8x + 2 = 0

Sum

7x² + 8x + 2 = 0
Here a = 7, b = 8, c = 2
∴ D = b² - 4ac
= (8)² - 4 x 7 x 2
= 64 - 56
= 8
∴ Discriminant = 8
∵ D > 0
∴ Roots are real and distinct.

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