Question

x+1/x=11 find x^2+1/x^2​

Answer 1

Answer:

119

Step-by-step explanation:

x + 1/x =11

Squaring both sides

x² + 1/x² + 2x.1/x = 11²                  [(a+b)²=a²+b²+2ab]

x² + 1/x² + 2= 121

x²+1/x²=119

Answer 2

Step-by-step explanation:

(x+1/x)^2=(11)^2 then

x^2+1/x^2+2x×1/x=121 then

x^2+1/x^2 =121-2=119

hence , the correct answer of this question is 119