Question

The number of solution of the equation $\sqrt{x^2}=x-2$ is

• A. $0$
• B. $1$
• C. $2$
• D. $4$

Answer 1

The correct option is B $1$

Given equation:

$\sqrt{x^2}=x-2$

$=|x-2|$

For $x>2$, $x=x-2$ No solution

For $x<2$, $2x-2=0x=1$

One solution exists.