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Question

If x2+1x2=98, find the value of x3+1x3

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Solution

Given,

x2+1x2=98

(x+1x)2=x2+1x2+2

98+2=100

x+1x=10

(x+1x)3=x3+1x3+3(x+1x)

x3+1x3+3(x+1x)=1000

x3+1x3=10003(10)=970

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