If x is equal to 5 minus 2 root 6, find x cube minus one upon x cube – InterviewSolution

1.

If x is equal to 5 minus 2 root 6, find x cube minus one upon x cube

Answer»

Answer:

970

Step-by-step EXPLANATION:

x=5-2root6 then

1/x= 5+2root6

$by \: rationalising \: the \: dinominator$

x^3+1/x^3=(x+1/x)-3x×1/x(x+1/x)

=(5+2root6+5-2root6)^3-3(5+2root6+5-2root6)

=(10)^3-3×10

=1000-30

970

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