Math, asked by fatemvaj, 4 months ago

if x+1/x=5,find the value of x²+1/x²​

Answers

Answered by saharka
2

Answer:

x +  \frac{1}{x}  = 5 \\  =  > (x +  \frac{1}{x}) ^{2}  = 25 \\   =  > x^{2} +  \frac{1}{ {x}^{2} }  + 2  \times x \times  \frac{1}{x} = 25 \\  =  > x^{2} +  \frac{1}{ {x}^{2} } = 23

Step-by-step explanation:

Done

Answered by HimanshuSomvanshi
10

Answer:

=>x +  \frac{1}{x}  = 5 \\ squaring \: on \: both \: side \\=>( {x +  \frac{1}{x} })^{2}  =  {5}^{2}  \\ ({x})^{2}  +   { (\frac{1}{x} )}^{2}  +  2 \times x \times  \frac{1}{x}  = 25 \\=>  {x}^{2}  +  \frac{1}{ {x}^{2} }  + 2 = 25 \\ => {x}^{2}  +  \frac{1}{ {x}^{2} }  = 23

Hope ite help uh


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