Question

if one zero of polynomial x^2+(a^2-9)x+6 is additive inverse of other find the value of a

Answer 1

In the attachment I have answered this problem.

Sum of the zeros are found in two ways . ( in solution (1) and (2) )

The value of a is calculated by equating (1) and (2).

See the attachment for detailed solution.

Answer 2

Answer:

answer is in the attached image