The sum of all real roots of the equation $|x-2|^2+|x-2|-2=0$ is

JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

The sum of all real roots of the equation

|x-2|^2+|x-2|-2=0

View answer and explanation

Correct option: B

Option B (4) is correct because by substituting

t = |x-2|

, we find the real roots

x=1

and

x=3

, and their sum is 4.

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a

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