Question

Number of real values of $x$ satisfying the equation $x^2+3=2\left\{x\right\}$. Where $\{.\}$ represents fractional part function.

• A. 1
• B. 0
• C. 2
• D. Infinite solutions

Answer 1

The correct option is B 0

Given: $x^2+3=2\left\{x\right\}$
Number of solutions of above equation are same as the number of points of intersections of equations $y=x^2+3\text{and}y=2\left\{x\right\}$

from the above graph, we can see that there is no points of intesection.
Hence given equation $x^2+3=2\left\{x\right\}$ have no solution.