if x = 2 + root 3 find value of x^3 +1/x^3
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Answer:
if x = 2 + root 3 find value of x^3 +1/x^
Step-by-step explanation:
solve the problem yourself this is very easy
Answered by
2
Answer: 52
Step-by-step explanation:
We have ,
x=2+√3 therefore by rationalizing , we get
1/x=2-√3
and x+1/x=2+√3+(2-√3)
we get x+1/x=4
By cubing both sides
- (x+1/x)^3= 4^3=64
- x^3+(1/x)^3+3x(1/x){x+1/x}=64
- x^3+(1/x)^3+3(4)=64
- x^3+(1/x)^3=64-12
- x^3+1/x^3=52
hence we got the answer
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