Question

If x = 2/3 and x = -3 are the roots of the quadratic equation ax²  +2ax +5x +10 then find the value of a and b.

Answer 1

Given: ax² + 7x + b = 0 

Since, x = 2/3 is the root of the above quadratic equation 

Hence, it will satisfy the above equation. 

Therefore, we will get

Since, x = –3 is the root of the above quadratic equation 

Hence, It will satisfy the above equation. 

Therefore, we will get