CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The quadratic equations x2+ax+b=0 and x2+bx+a=0, have one common root and ab, then


  1. a+b = -2

  2. a+b =1

  3. a+b = -1

  4. a+b = 2


Solution

The correct option is C

a+b = -1


x2+ax+b=0.................(1)

x2+bx+a=0 .................(2)

then α will satisfy for both the equations 

α2+aα+b=α2+bα+a=α(ab)=ab

α=1

α=1 is the common root from equation 1

(1)2+a(1)+b=0

1 + a + b = 0

a + b = -1

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image