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Step2247 [10]
3 years ago
15

Q16. Find x^2 + 1/x^2 , if x + 1/x = 3

Mathematics
1 answer:
erica [24]3 years ago
8 0

Answer:

2 \times  x \times \frac{1}{x}  =  2 \\  {x}^{2}   +  {y }^{2}  + 2xy =  {(x + y)}^{2} \\ {x}^{2}  +  \frac{1}{ {x}^{2} }  + 2 = {(x +  \frac{1}{x} })^{2}  =  {3}^{2}  = 9

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