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Question

If x=5+26526,then x2(x10)2=


A

5

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B

52

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C

1

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D

221

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Solution

The correct option is C

1


x=5+26526×5+265+26=(5+26)2(5)2(26)2=5+262524=5+261=5+26x2(x10)2=(5+26)2(5+2610)2=(5+26)2(265)2=(25+24+206)(24+25206)=(49+206)(49206)=(49)2(206)2=24012400=1


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