Question

If x+1/x=2 and x is real then the value of x power 17 + 1/ x power 19 is​

Answer 1

x+1/x = 2

x+1=2x

therefore,x= -1

put value of x=-1 in second equation

odd power of -1 will always be -1

therefore, equation becomes

(-1+1)/-1

which is 0/-1

and denominator is non zero but numerator is zero which makes the answer 0.

therefore (x^17+1)/(x^19)= 0

Answer 2

Answer:

Step-by-step explanation:

x+1/x=2

x^2 +  1  =  2x

x^2 - 2x +1 =0

[x-1]^2 =0

x = 1

so   x^17 +1/x^19  = 1 + 1 = 2