Question

if x - 1/x=5 find x^2+1/x^2​

Answer 1

x-1/x=5

Squaring both the sides,we get------

(x-1/x)²=(5)²

x²+1/x²-2×x×1/x=25

x²+1/x²-2=25

x²+1/x²=25+2

x²+1/x²=27