Math, asked by aryandp28, 4 months ago

if x²+1/x² =27 then find the values of​

Answers

Answered by TrAnSLIMit
3

Step-by-step explanation:

 {x}^{2}  +  \frac{1}{ {x}^{2} }  = 27

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

 {(x  -   \frac{1}{x} )}^{2}  = 27  -  2

(x -  \frac{1}{x} ) =  \sqrt{25}

x -  \frac{1}{x}  = 5

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