Question

If the equation x2
+ 5bx + 8c = 0, does not have two distinct real roots, then
minimum value of 5b + 8c is.​

Answer 1

Answer:

Since the equation x2 + 5bx + 8c = 0 does not have two distinct real roots and coefficient of x2 is positive, hence x2 + 5bx + 8c ≥ 0 ⇒ 5b + 8c ≥ −1. Hence, the minimum value is −1.