For a ≠ b , if the equation x 2 + a x + b = 0 and x 2 + b x + a = 0 have a common root, then the value…

For a≠b, if the equation x2+ax+b=0 and x2+bx+a=0 have a common root, then the value of a+b=
  1. -1
  2. 0
  3. 1
  4. 2

Solution

Given: x2+ax+b=0 & x2+bx+a=0

Here, we can see that for x=1 both the equations are giving same expression, which is,

1+a+b=0

⇒a+b=-1

Asked in: AP EAMCET 2021 (20 Aug Shift 2)

Practice more Quadratic Equation questions on Aicharya