Question

please find answers and how. to solve this question

Answer 1

Hey mate here is your Answer

Step 1
_take fourth root of both sides.
$\sqrt[4]{ {x}^{4} + \frac{1}{ {x}^{4} } } = \sqrt[4]{142}$
$\sqrt[4]{ {x}^{4} (1 + {x}^{ - 1})} = \sqrt[4]{142}$
$\sqrt[4]{ {x}^{4} } \times \sqrt[4]{1 + {x}^{ - 1} } = \sqrt[4]{71 \times 2}$