Question

not only answer please do the procedure and tell me reasons for , whatever you have applied please don't just tell me the answer please ok?​

Answer 1

$\huge\bigstar\mathfrak\blue{\underline{\underline{SOLUTION:}}}$

Given,

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

Using Formula

$(a + b) {}^{2} \\ = > {a}^{2} + {b}^{2} + 2ab$

Squaring both sides

$(x + \frac{1}{x}) {}^{2} = (2) {}^{2} \\ \\ = > {x}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \times \frac{1}{x} = 4 \\ \\ = > {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 4 \\ \\ = > {x}^{2} + \frac{1}{ { {x}^{2}} } = 4 - 2 \\ \\ = > {x}^{2} + \frac{1}{ {x}^{2} } = 2$

hope it helps ☺️