Question

MCQ (100)
Q6. Let h be the finite difference, then forward
difference operator is defined by
(A) f(x) = f(x-h) – f(x)
(B) f(x) = f(x+h) - f(x)
(C) f(x) = f(x+h)
D) f(x) = f(x-h)​

Answer 1

Answer:

This implies that

x2+2ax=4x−4a−13

or

x2+2ax−4x+4a+13=0

or

x2+(2a−4)x+(4a+13)=0

Since the equation has just one solution instead of the usual two distinct solutions, then the two solutions must be same i.e. discriminant = 0.

Hence we get that

(2a−4)2=4⋅1⋅(4a+13)

or

4a2−16a+16=16a+52

or

4a2−32a−36=0

or

a2−8a−9=0

or

(a−9)(a+1)=0

So the values of a are −1 and 9.