Question

The number of real solution(s) of the equation $x^2=1-|x-5|$ is

• A. $1$
• B. $2$
• C. $4$
• D. no solution

Answer 1

The correct option is D no solution

The number of real solutions of the equation $x^2=1-|x-5|$ is equal to the number of point of intersection of the curves $y=x^2$ and $y=1-|x-5|$


Clearly, from the graph the two curves do not intersect.
$\therefore$ No solution.