Question

# If a, ß are the roots of the polynomial f(x) = 2x2 + 5x + k satisfying the relation o? +B+ QB = 27, then find the value of k for this to be possible.

Solution

Ans: 2
a+b = and oß =
a? +8² +0= 21
2 21 25 k_21
(a +B)--aß == = -=-
k=2
=
44