Question

If x+ 1 x =9, find the value of x ^ 2 + 1/(x ^ 2)​

Answer 1

Answer:

The answer is 79

Step-by-step explanation:

Given   $x+\frac{1}{x}=9$

Square both sides and simplify

 $\Rightarrow (x+\frac{1}{x})^2=9^2\\\\\Rightarrow x^2+\dfrac{1}{x^2}+2(x)(\dfrac{1}{x})=81\\\\\Rightarrow x^2+\dfrac{1}{x^2}+2=81\\\\\Rightarrow x^2+\dfrac{1}{x^2}=81-2=79$