Question

Let the solution of the equation 5 { x } = 2 [ x ] + x is a / 4 then the value of a is _______________where {.} and [.] represents fractional part function and greatest integer function respectively.

Answer 1

Answer:

we know that 1−{x}={−x}

So,

x−{x}+2{x}+2=3x

{x}+2=2x

{x}+2=2{x}+2[x]

{x}+2[x]=2

hence only one solution

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