1.

If x+1/x=5,then x^2+1/x^

Answer»

Answer:

23

Step-by-step EXPLANATION:

Given

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

Squaring both sides,

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

{5}^{2} = {x}^{2} + \frac{1}{ {x}^{2} } + 2

{x}^{2} + \frac{1}{ {x}^{2} } = 25 - 2 = 23

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