Question

X + 1 by x is equal to 9 find X square + 1 by x square

Answer 1

Here is the solution
$x + \frac{1}{x } = 9$
Squaring both sides
$(x + \frac{1}{x} )^{2} = (9)^{2}$
${x}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \times \frac{1}{x} = 81$
${x}^{2} + \frac{1}{ {x}^{2} } + 2 = 81$
${x}^{2} + \frac{1}{ {x}^{2} } = 81 - 2$

${x}^{2} + \frac{1}{ {x}^{2} } = 79$
Thus answer is 79