Question

Let a, b are integers and a + b is a root of x2 + ax + b = 0. What is the maximum possible value of a

Answer 1

Answer:

The maximum possible value of a are 2.

1. we know that a+b is root of x^2+ax+b=0.
2. we can write X= a+b.
3. Then the new equation will be (a+b)^2+a(a+b)+b=0.
4. now from this equation the highest power of a is 2.
5. so the maximum possible value of a is 2