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- Homework Statement
- I think that the way in pic 1 is right because of the property written next to the procedure but the professor who posts videos on youtube solved it the way as written in pic 2

- Relevant Equations
- ax^2 + bx + c = 0, |x|>=0

I am a bit confused, so if anyone can explain to me which way is right I would be very thankful.

I think that the way in pic 1 is right because of the properties written next to the procedure but the professor who posts videos on youtube solved it the way as written in pic 2 where he didn't consider possible cases of the absolute value of the expression. He just removed absolute values and set the expression equal to 1/2 and -1/2. Solutions in both cases are the same since the solutions in 1st pic match with conditions but, what if they didn't match? That is what bothers me.

Thank you.

I think that the way in pic 1 is right because of the properties written next to the procedure but the professor who posts videos on youtube solved it the way as written in pic 2 where he didn't consider possible cases of the absolute value of the expression. He just removed absolute values and set the expression equal to 1/2 and -1/2. Solutions in both cases are the same since the solutions in 1st pic match with conditions but, what if they didn't match? That is what bothers me.

Thank you.

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