Question

X square + 1 by X equals to 27 find x+1/x

Answer 1

27x is the correct answer if answer is in variable form

Answer 2

Answer:

$\pm \sqrt{29}$

Step-by-step explanation:

We have,

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

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

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

$\implies \sf(x + \dfrac{1} {x}) ^{2} = 27 + 2$

$\implies \sf(x + \dfrac{1}{x} ) ^{2} = 29$

$\implies \sf \: x + \dfrac{1}{x} = \pm \sqrt{29}$