if x+1/x=4,find the value of xpower4+1/xpower4
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ishitamogha21:
hai
Answered by
1
Answer:
194
Step-by-step explanation:
(x + 1/x)^2 = x^2 + 1/x^2 + 2
=> 16 - 2=x^2 + 1/x^2
=> x^2 + 1/x^2= 14.
now,
(x^2 + 1/x^2)^2 = x^4 + 1/x^4 +2
=>(14)^2 - 2 =x^4 + 1/x^4
=>196-2=194
therefore, x^4 + 1/x^4= 194
hope it helps :)
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