1.

Find x......................​

Answer»

Step-by-step explanation:

( \sqrt{ \frac{x - 1}{x} } ) ^{ {x}^{2} } = ( \frac{1}{x} ) ^{x + 1} \\ ( \frac{x - 1}{x} ) ^{x} = ( \frac{1}{x} ) ^{x} \times ( \frac{1}{x} ) \\ ( \frac{x -1}{x}) = \frac{1}{ { ^{x} }^{2} } \\ (x - 1) = \frac{1}{x} \\ x(x - 1) = 1 \\ {x}^{2} - x = 1 \\ {x}^{2} - x - 1 = 0 \\ \\

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