Question

if x + 1/x = 5 , find the value of x^2 + 1/x^2​

Answer 1

Answer:

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Answer 2

23

Explanation:

$x + \frac{1}{x } = 5$

Squaring on both sides

$(x + \frac{1}{x} ) {}^{2} = {5}^{2}$

$x {}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \times \frac{1}{x} = 25$

${x}^{2} + \frac{1}{ {x}^{2} } = 25 - 2$

${x}^{2} + \frac{1}{ {x}^{2} } = 23$