WBJEE · Maths · Quadratic Equation
The sum of all real roots of the equation \(|x-2|^2+|x-2|-2=0\)
- A 7
- B 4
- C 1
- D 5
Answer & Solution
Correct Answer
(B) 4
Step-by-step Solution
Detailed explanation
Hints: Put \(1 x-21=y\) \[ \begin{aligned} & y^2+y-2=0 \\ & (y-1)(y+2)=0 \\ & y=1 \\ & |x-2|=1 \\ & x-2= \pm 1 \\ & x=2 \pm 1 \\ & x=3,1 \end{aligned} \] \[ y=-2 \] (Not possible) Sum \(=4\)
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