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  • Solve the equation |2x-1|=3[x]+2x where [.]denote greatest integer and. denotes fractional part function.

Solve the equation |2x-1|=3[x]+2x where [.]denote greatest integer and. denotes fractional part function.

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Solution: We are given that , left | 2x-1 ight |=3[x]+2(x-[x])

Let 2x-1leq 0,i.e;xleq 1/2

\ Rightarrow 0leq 1-5[x]/4< 1\ \Rightarrow -3/5< [x]leq 1/5

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Deependra Verma

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