Math, asked by dy1292, 28 days ago

x+1/x=6 ho to x^3+1/x^3=? iska kya hoga​

Answers

Answered by mahendrayadav33652
0

Answer:

good question is

Step-by-step explanation:

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Answered by vijayalakahmi0901
0

Step-by-step explanation:

x+1/x=6 ……………..(1)

Squaring both sides

x^2+1/x^2+2=36

x^2+1/x^2=34 ………..(2)

On cubing eq.(1) both sides

x^3+1/x^3+3.x1/x.(x+1/x)=216

x^3+1/x^3+3×6=216

x^3+1/x^3=216–18

x^3+1/x^3=198………………(3)

Multiply eq.(2) & (3)

(x^2+1/x^2)×(x^3+1/x^3)=34×198

x^5+x+1/x+1/x^5=6732

x^5+6+1/x^5=6732

x^5+1/x^5=6732–6=6726 , Answer

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