#Absolute quadratic equations. I do not understand how my teacher got those cases

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I know how she got the 3 +- sqrt(105)/2 but I do not understand why they did x>= 3 +sqrt(105)/2 and -24 <= x <= 3 - sqrt(105)/2 for case 1

and for case 2 why they only did

3 - sqrt(105)/2 < x < 3 + sqrt(105)/2

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