CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The sum of real values of K for which the equation x3Kx+K1=0 has exactly two distinct real solutions. 


  1. 34 

  2. 3

  3. 154 

  4. 152 


Solution

The correct option is C

154 


(x31)K(x1)=0

(x1)(x2+x+1K)=0

x=1 or x2+x+(1K)=0

For exactly two distinct solutions, x2+x+(1K)=0 have identical solution.

i.e., Discriminant =0

=14(1K)=0K=34

OR

For exactly two distinct solutions, x2+x+(1K)=0 has x=1 as one of its solution.

So, 1+1+1K=0K=3

Sum of the real values of K=34+3=154

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image