Question

If x+1/x=5, find the value of x2+1/x²​

Answer 1

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Answer 2

$\tt {\underline{ \underline{ \red{✠Answer:-}}}}$

Formula used:-

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

Solution:-

$\tt{ = > {(5)}^{2} = {x}^{2} + \frac{1}{ {x}^{2} } + 2 }$

$= > \tt{25 - 2 = {x}^{2} + \frac{1}{ {x}^{2} } }$

$\tt{ = > \red{23 = {x}^{2} + \frac{1}{ {x}^{2} } }}$