Question

If x+1/x is 3 ,then what will be the value of x power 5+1/x power 5

Answer 1

Step-by-step explanation:

If x +1/x=3 then find x^5+1/x^5.

Given X+1/X =3.

Therefore (x+1/x)^2=x^2+1/x^2+2 =9, so x^+x^2=7.

Similarly,x^3+1/x^3=18

Also,x^5+1/x^5 = (x^2+1/x^2) * (x^3+1/x^3)

=x^5+1/x^5+x+1/X= 18×7=126.

Hence x^5+1/x^5=126-3=123.