Question

pls provide the steps.​

Answer 1

Step-by-step explanation:

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

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