Question

Suppose 1, 2, 3 are the roots of the equation x4 + ax
+ bx = c. Find the value of a​

Answer 1

1,2 and 3 are the roots of given equation,

∴a+b+c=−1.....(i)

4a+2b+c=−16.....(ii)

9a+3b+c=−81....(iii)

(iii)−(i)

8a+2b=−80..........(iv)

(ii)−(i)

3a+b=−15..............(v)

Solving a=−25 & b=60

putting value of a & b in eq. (i), we get

c=−36

Hence, option (b) is correct.