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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
5 months, 3 weeks ago

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Both of you are wrong because there is no equation.

Pi Han Goh - 5 months, 2 weeks ago

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

Yatin Khanna - 5 months, 2 weeks ago

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

Pi Han Goh - 5 months, 2 weeks ago

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