If x + 1/ x = √3, evaluate x^3 + 1/x^3
Answers
Answered by
4
Answer:
(√3)³+1/(√3)³
3√3+1/3√3
=0
Answered by
1
Step-by-step explanation:
From question x+1/x=√3
x+1/x=√3
Cubing on both LHS and RHS we get,
(x+1/x)
3
=(√3)
3
X
3
+(1/x
3
)+3(x+(1/x))=3√3
x
3
+1/x
3
+3(√3)=3√3
By transporting we get
x
3
+1/x
3
+3√3−3√3=0
x
3
+1/x
3
=0
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