Question

Sum of all the roots of the equation $x^2–2x+|x-1|–5=0$ is

• A. 2
• B. 1
• C. 5

Answer 1

The correct option is A 2

Given equation can be written as ${|x-1|}^2+|x-1|-6=0$
$(|x-1|-2)(|x-1|+3)=0$
$\therefore$ $|x-1|=2\Rightarrow x=3,-1\Rightarrow 3-1=2$