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An absolute value problem

Algebra Level 4

\[\large \left|2x-6\right |=x+k\]

If, \(x\) & \(k\) are real numbers, then on what condition the equation given above will have \(2\) unique roots?

\[k\neq-3\] \[k>-3\] \[k>3\] \[k\neq3\] \[k\geqslant 3\] \[k<-3\]

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by MD Omur Faruque

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