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i upload the pic of solution
Step-by-step explanation:
(x+1/x=7)*3 + 1/ (x+1/x=7)
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Answer :
x³ + 1/x³ = 322
Solution :
- Given : x + 1/x = 7
- To find : x³ + 1/x³ = ?
We have ;
x + 1/x = 7
Now ,
Cubing both the sides , we have ;
=> (x + 1/x)³ = 7³
=> x³ + (1/x)³ + 3•x•(1/x)•(x + 1/x) = 343
=> x³ + 1/x³ + 3•1•7 = 343
=> x³ + 1/x³ + 21 = 343
=> x³ + 1/x³ = 343 - 21
=> x³ + 1/x³ = 322
Hence ,
x³ + 1/x³ = 322
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