Question

$if \: x + \frac{1}{x} = 5 \: then \: {x}^{2} + \frac{1}{ {x}^{2} }$
plz.. help me or mai aap log ko brainlist bna doonga plz..​

Answer 1

Answer:

23

Step-by-step explanation:

$x + \frac{1}{x} = 5 \\ ({x} + { \frac{1}{x} })^{2} = {5}^{2} \\ {x}^{2} + 2x \frac{1}{x} + {\frac{1}{x} }^{2} = 25 \\ {x}^{2} + 2 + { \frac{1}{x} }^{2} = 25 \\ so \: {x}^{2} + { \frac{1}{x} }^{2} = 25 - 2 = 23$

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