Question

if x2+1/x2=3 find the value of x+1/x
please tell....

Answer 1

$\frac{ {x}^{2} + 1 }{ {x}^{2} } = 3 \\ \\ {x}^{2} + 1 = 3 \times {x}^{2} \\ \\ 1 = 3 {x}^{2} - {x}^{2} \\ \\ 1 = 2 {x}^{2} \\ \\ {x}^{2} = \frac{1}{2} \\ \\ x = \sqrt{ \frac{1}{2} }$

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Answer 2

Answer:

given that,

x^2+1/x^2=3

solution :

${x}^{2} + \frac{1}{ {x}^{2} } = 3$

$⟹ {(x + \frac{1}{x} )}^{2} - 2.x .\frac{1}{x} = 3$

$⟹ {(x + \frac{1}{x}) }^{2} - 2 = 3$

$⟹ {(x + \frac{1}{x}) }^{2} = 3 + 2$

$⟹{(x + \frac{1}{x}) }^{2} = 5$

$⟹(x + \frac{1}{x} ) = \sqrt{5}$

so, the value of x+1/x = √5