Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x² + 8x + 4 = 0?
Q1. Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x² + 8x + 4 = 0?
Answer: 14
Explanation: a/b+b/a = (a²+b²)/ab = ((a+b)²−2ab)/ab; a+b = −8, ab = 4; value = (64−8)/4 = 14.