Question

The number of real roots of the equation ${(x-1)}^2+{(x-2)}^2+{(x-3)}^2=0$ is

• A. $2$
• B. $1$
• C. $0$
• D. $3$

Answer 1

The correct option is C $0$

The equation is true if it all terms are simultaneously zero

$\Rightarrow x-1=0$ and $x-2=0$ and $x-3=0$

,ie, $x=1,2,3$ simultaneously is not possible for the equation to be zero

No real roots of $x$

Or we can solve this using discriminant.