If x+1/x=5 then find out the value of x^5+1/x^5=?  Choose one
A) 2515 B) 2525 C) 2535 D) 2545 E) 2555
given,(x+ 1/x) = 5   x^2 + 1/x^2 = (x+ 1/x)^2 - 2*x*1/x = 5^2 - 2 = 23 -------(1)   x^3 + 1/x^3 = (x+ 1/x)^3 - 3*x*1/x*(x+ 1/x) = 5^3 - 3*5 = 110 -------(2)   multiplying (1)&amp; (2), we get   =&gt;(x^2+ 1/x^2)*(x^3+ 1/x^3) = 23*110   =&gt; x^5 + 1/x + x + 1/x^5 = 2530   =&gt; x^5 + 1/x^5 + (x+ 1/x)= 2530   =&gt; x^5 + 1/x^5 + 5 = 2530   =&gt; (x^5+ 1/x^5)= 2525   ANSWER:2525
<result>B</result>
If x+1/x=5 then find out the value of x^5+1/x^5=?