Question

help me in finding this the correct answer will be marked as brainlies wrong as or fake as report​

Answer 1

Answer:

• 119.

Step-by-step explanation:

Given :

$\bold{x+\dfrac{1}{x}=11}$

To find :

$\bold{x^2+\dfrac{1}{x}^2 }$

Solution :

${Squaring\;on\;both\;sides:}$

$\bold{(x+\dfrac{1}{x})^2={11^2} }$

• (a + b)² = a² + b² + 2ab

$\bold{x^2+\dfrac{1}{x}^2+2(x)(\dfrac{1}{x})=121 }$

$\bold{x^2+\dfrac{1}{x^2}+2=121 }$

• $\bold{x^2+\dfrac{1}{x}^2=119 }$