Question

x+1/x=3 find x5+1/x5

Answer 1

Hope it helps you.....

Answer 2

The value of x^5 +1/x^5 is 123

1) Given is x+1/x = 3.

2) Squaring both sides $x^{2} +\frac{1}{x^{2} } +2*x*\frac{1}{x} = 9$

3) $x^{2} + \frac{1}{x^{2} } = 7$

4) Cubing the given equation $x^3 + \frac{1}{x^3} +3*x*\frac{1}{x}*(x+\frac{1}{x}) = 27$

5) $x^3 + \frac{1}{x^3} +3*(3) = 27$

6) $x^3 + \frac{1}{x^3} = 18$

7) multiplying both the quadratic and the cubic equation gives$(x^2+\frac{1}{x^2})*(x^3+ \frac{1}{x^3}) =7*18$ = 126

8) $x^5 +x+\frac{1}{x} +\frac{1}{x^5} = 126$

9) $x^5 + \frac{1}{x^5} = 123$