Question

TI (x²+ 1/x²) = 47 and value of (i) x + 1/x​

Answer 1

Answer:

7

Step-by-step explanation:

${(x + \frac{1}{x} ) }^{2} = {x }^{2} + \frac{1}{ {x}^{2} } + 2 \\ (x + \frac{1}{x} )^{2} = 47 + 2 \\ x + \frac{1}{x} = \sqrt{49 } \\ x + \frac{1}{x} = 7$

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