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Question

If x=22+7, identify the value of 12(x+1x).


A

227

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B

7

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C

22

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D

22+7

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Solution

The correct option is C

22


x=22+712(x+1x)=12(22+7+122+7)=12((22+7)2+122+7)=12(8+7+2×22×7+122+7)=12(16+41422+7)=12(4(4+14)22+7)=2(2(22+7)22+7)=22


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