Question

If X2 + 1 X/2 = 23, evaluate :
X+1/X​

Answer 1

Answer:

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

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

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

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

$x + \frac{1}{x} = \sqrt{25}$

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

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