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If 2 = x + (1)/(1 + (1)/(3 + (1)/(4))), ...

If `2 = x + (1)/(1 + (1)/(3 + (1)/(4)))`, then the value of x is :

A

`(18)/(17)`

B

`(21)/(17)`

C

`(16)/(17)`

D

`(20)/(17)`

Text Solution

Verified by Experts

The correct Answer is:
2
Given , `2=x+(1)/(1+(1)/(3+(1)/(4)))`
`rArr2=x+(1)/(1+(1)/(13/(4)))rArr2=x+(1)/(1+(4)/(13))`
`rArr2=x+(1)/(17)rArr2=x+(13)/(17)rArrx=2-(13)/(17)=(21)/(17)`
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