Math, asked by nishant789096, 8 months ago

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 bivan
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 Anonymous
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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