Question

if x+1/x=11, find x²+1/x²​

Answer 1

Answer:

119

Step-by-step explanation:

x+1/x=11

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

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

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

Answer 2

Key Point :-

${(a +b)}^{2} = {a}^{2} + 2ab + {b}^{2}$

Solution :-

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

${x}^{2} + \frac{1}{ {x}^{2} } = {(x + \frac{1}{x} )}^{2} - 2$

${x}^{2} + \frac{1}{ {x}^{2} } = 121 - 2$

${x}^{2} + \frac{1}{ {x }^{2} } = 119$