if x + 1/x =7 then find the value of x³+1/x³
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Answered by
1
Answer:
(x+1/x) ^3 = 7^3
x^3 +(1/x^3)+3x.1/x.(x+1/x) = 343
x^3 + (1/x)^3 +21 = 343
x^3 + (1/x)^3 = 321
Therefore, 321 is the answer
Step-by-step explanation:
Thank you
Answered by
1
Answer:
Hallo
Given,
x + 1/x = 7---(1)
we know that, a³+b³ = (a+b)³-3ab(a+b)
Put the value,
x³+1/x³ = (x+1/x)³-3(x+1/x)
= (7)³-3*7
= 343-21
= 322
So, the value of x³+1/x³ = 322
I hope it may help you.
Good bye.
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