Question

x+1/x=3,then find x/x^2+1​

Answer 1

Step-by-step explanation:

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Answer 2

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Given,

$➥ \tt{x - \frac{1}{x} = 3}$

Solution,

➼Formula used:-

• (a-b)²=a²-2ab+b²

➼Now,

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

$⇢ \tt{( {3}^{2}) = {x}^{2} + \frac{1}{ {x}^{2} } - 2}$

$⇢ \tt{9 + 2 = {x}^{2} + \frac{1}{ {x}^{2} } }$

$⇢ \tt{ \red{11}= {x}^{2} + \frac{1}{ {x}^{2} } }$

Therefore,

• The value of x²+1/x² is 11.