if x-1/x=√5 find the value of x^3+1/x^3
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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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