Solve the following:


I f   x   +   1 x   =   - 1 ,   t h e n   f i n d   t h e   v a l u e   o f   x 99   +   1 x 99

Hi, x+1x= -1x2+1x= -1x2+1= -x x2+x+1=0 ....1We know that a3-b3= a-ba2+ab+b2putting a = x and b = 1 x3-13= x-1x2+x+1x3-1=x-1×0 = 0 from equation 1 so x3=1Now x99+1x99=x333+1x333=133+1133= 1+1= 2 

  • 1
The answer will be -1 as (-1)99 will be -1.
  • -1
What are you looking for?