The roots of the equation $\left|x^2-x-6\right|=x+2$ are

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Aicharya · Accepted Answer

Given, $\left|x^2-x-6\right|=x+2$ $\begin{array}{ll} \Rightarrow & x^2-x-6=x+2 \ \text {Or } & x^2-x-6=-x-2 \ \Rightarrow & x^2-2 x-8=0 \text { or } x^2=4 \ \Rightarrow & (x=-2,4) \text { or }(x= \pm 2) \Rightarrow x=\{-2,2,4\} \end{array}$

The roots of the equation \(\left|x^2-x-6\right|=x+2\) are

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