Question

Number of values of {X} satisfying the equation [x]² = 3x-2[x] is (where [.] represents the greatest integer function and {x} is the frictional part function)___​

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

Answered By brainy