2Q-If x+1/x=4, find
i)x²+1/x²
ii)x³+1/x³
iii)x⁶+1/x⁶
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Answer:
i) 10
ii) 28
iii) 730
Step-by-step explanation:
(x+1)/x=4
x+1 = 4x
1 = 3x
x = 1/3
i)x²+1/x²
=> (1/9 + 1)/ 1/9
=> (10/9) /(1/9)
=> 10/9 *9
=> 10
ii)x³+1/x³
=> (1/27 + 1)/ 1/27
=> (28/27) /(1/27)
=> 28/27 *27
=> 28
iii)x⁶+1/x⁶
=> (1/729 + 1)/ 1/729
=> (730/729) /(1/729)
=> 730/729 *729
=> 730
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