Question

x + 1/x = 3, then x²+1/x² is equal to?

Answer 1

Answer:

9

Step-by-step explanation:

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Answer 2

Answer:

Hey friend,

Here is the answer you are searching for,

$squaring \: both \: sides \\ {(x + \frac{1}{x} ) }^{2} = {3 }^{2} \\ {(x + \frac{1}{x} )}^{2} = {x}^{2} + { \frac{1}{x} }^{2} + 2 \times x \times \frac{1}{x} \\ = > {x}^{2} + { \frac{1}{x} }^{2} + 2 \times x \times \frac{1}{x} = {3}^{2} \\ = > {x}^{2} + { \frac{1}{x} }^{2} + 2 = 9 \\ = > {x}^{2} + { \frac{1}{x} }^{2} = 9 - 2 = 7$

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