Sum of the roots of the equation | x - 3 | 2 + | x - 3 | - 2 = 0 is equal to

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Solution

Q.
Sum of the roots of the equation $| x - 3 |^{2}$ $+$ $| x - 3 |$ $- 2 = 0$ is equal to

1 2

2 4

3 6

4 16

Ans.
(3)

$We have,$ $| x - 3 |^{2}$ $+$ $| x - 3 |$ $- 2 = 0$

$\Rightarrow$ $| x - 3 |$ $= 1 \Rightarrow x - 3 = \pm 1 \Rightarrow x = 2, 4$

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