Question

please solve this question in maths?

Answer 1

9+(x+1/x)^2=(5)^2

x^2+1/x^2+9-2=25

x^2+1/x^2=25-7

x^2+1/x^2=18

Answer 2

$({x - \frac{1}{x}) }^{2} = {x}^{2} + { \frac{1}{x} }^{2} - 2 \\ \\ {5}^{2} = {x}^{2} + { \frac{1}{x} }^{2} - 2 \\ \\ 25 = {x}^{2} + { \frac{1}{x} }^{2} - 2 \\ \\ 25 + 2 = {x}^{2} + { \frac{1}{x} }^{2} \\ \\ 27 = {x}^{2} + { \frac{1}{x} }^{2}$


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