2x +1/x2=13 Then x5+1/x5=Y Find Y

Question

2x +1/x²=13

Then x⁵+1/x⁵=Y

Find Y

Answer 1

2x + 1/x^2 = 13

multiply by x^2 to get

2x^3+1 = 13x^2

x = about 6 1/2, +/- 1/4 but last two are extraneous solutions

x = about 6.5

then plug that into

x^5 + 1/x^5 = 6.5^5 + 1/6.5^5 = about 11,603

or maybe you meant (x^5+1)/x^5 then

= 1+1/x^5 = 1 + 1/6.5^5 = about 1