Question

If x+1 by x=3 find xsqare +1byxsqar

Answer 1

Answer:

$x + \frac{1}{x} = 3 \\ squiring \: both \: sides \\( x + \frac{1}{x}) ^{2} = (3 )^{2} \\ \implies \: {x}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \times \frac{1}{x} = 9\\ \implies \: {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 9 \\ \implies \: {x}^{2} + \frac{1}{ {x}^{2} } = 9 - 2\\ \implies \: {x}^{2} + \frac{1}{ {x}^{2} } = 7$