Solve the following parts

Solve the following equations (where [*] denotes greatest integer function and {*} represent fractional part function and sgn represents signum function)

Solve the following equations x^(2)-3-{x}=0 where [x] denotes the greatest integer and {x} fractional part.

Solve the following equations x^(2)-3-{x}=0 where [x] denotes the greatest integer and {x} fractional part.

Solve the following inequalities (where [*] denotes greatest integer function and {*} represent fractional part function) [2x^(2)-x]<1