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# Roots vs Solutions

I have a doubt regarding the definitions of both.
The example I had in a question was $$(x-2)^3 (x-3)=0$$ has how many solutions?

According to me it has 4 roots but 2 solutions while my instructor disagrees and says it has 4 roots and 4 solutions. So, which is correct?

Note by Yatin Khanna
8 months, 2 weeks ago

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Both of you are wrong because there is no equation.

- 8 months, 2 weeks ago

Well; sorry!! I forgot about the zero. Now, who is correct?

- 8 months, 2 weeks ago

Both are correct. For clarity, we should specify that there are 4 solutions, 3 of which are equal.

- 8 months, 2 weeks ago