# Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 8x + 4 = 0?

**Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x**

^{2}+ 8x + 4 = 0?A. 15

**B. 14 (Correct)**

C. 24

D. 26

Explanation:

a/b + b/a = (a2 + b2)/ab = (a2 + b2 + a + b)/ab

= [(a + b)2 – 2ab]/ab

a + b = -8/1 = -8

ab = 4/1 = 4

Hence a/b + b/a = [(-8)2 – 2(4)]/4 = 56/4 = **14.**