If x +1/x = 5 (x ≠ 0), then find the value of x^3 + 1/x^3.
Plz give correct answer with solution.
Answers
Answered by
1
Answer:
110
Step-by-step explanation:
x+1/x = 5
(x+1/x)³ = 5³ [cubing both sides]
x³+1/x³+3×x×1/x(x+1/x) = 125
x³+1/x³+3×5 = 125 [as it is given x+1/x = 5]
x³+1/x³+15 = 125
x³+1/x3 = 125–15
x³+1/x³ = 110
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Answered by
15
Answer:
Question ⤵
If x +1/x = 5 (x ≠ 0), then find the value of x^3 + 1/x^3.
Answer ⬇
x+1/x = 5
(x+1/x)³ = 5³ [cubing both sides]
x³+1/x³+3×x×1/x(x+1/x) = 125
x³+1/x³+3×5 = 125 [as it is given x+1/x = 5]
x³+1/x³+15 = 125
x³+1/x3 = 125–15
x³+1/x³ = 110 ans.
Thanks..
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