Question

If x + 1/x= m then find the value of x² + 1/x²
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Answer 1

$\sf{ (x + \dfrac{1}{x})^2 = x^2 + \dfrac{1}{x^2} + (2 * x * \dfrac{1}{x}) }$

$\implies \sf{ m^2 = x^2 + \dfrac{1}{x^2} + 2 }$

$\leadsto \sf{ x^2 + \dfrac{1}{x^2} = m^2 - 2 }$

Answer 2

Step-by-step explanation:

given, x +1/x = m

=> squaring,

x2+1/x2 = m2

so answer is m2