Question

if x-1/x = 4, then evaluate x²+1/x²​

Answer 1

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Answer 2

Answer:

Firstly ,

$= > \frac{x - 1}{x} = 4 \\ = > x - 1 = 4x \\ = > - 1 = 4x - x \\ = > - 1 = 3x \\ = > - \frac{1}{3} = x$

Then,

$= > \frac{x {}^{2} + 1}{ {x}^{2} } \\ = > \frac{( \frac{ - 1}{3}) {}^{2} + 1 }{( \frac{ - 1}{3}) {}^{2} } \\ = > \frac{ \frac{1}{3} + 1}{ \frac{1}{3} } \\ = > \frac{ \frac{1 + 3}{3} }{ \frac{1}{3} } \\ = > \frac{ \frac{4}{3} }{ \frac{1}{3} } \\ = > \frac{4}{3} \times \frac{3}{1} \\ = > 4$

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