Intersection Between Lines & Curves (2 of 2: Circle and straight line)

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[@DiGiTaL37O]

First of all I like your videos. Your lessons are great. But I have a question to your statement that you should not divide by variables. I think it would be fine to divide by variables if done properly. If you divide by a variable, the variable may be zero, so you need a distinction of cases. (Otherwise it may happen that both sides are divided by 0) So you have If x is not equal to 0: x+2=0 -> Solution is x=-2 If x is equal to 0: 0=0 -> Is true, so x=0 is a solution You do get both solutions. Am I right? What do you think? I have another question to which I never found a satisfactory answer. Maybe you can give one. It's about repeating decimal numbers. I have learned in school, that you can convert repeating decimals of the form x=0.aaaaaaa.... into fractions by doing the following: (1): x = 0.aaaaaa...... (2): 10x = a.aaaaaa...... | (1) multiplied by 10 (2) - (1): 9x=a -> x = a/9 BUT if a = 9 you will end up with (1): x = 0.999999...... (2): 10x = 9.999999...... | (1) multiplied by 10 (2) - (1): 9x = 9 -> x = 1 but from (1) we know that x != 1 Why is that? My teacher just said, that 0.999999...... = 1 without any reasoning, but I am not happy with this answer. Obviously 0.999999...... < 1. Do you have a better answer to this problem? Cheers, keep on the good work

[@randommeamsguy9494]

cant elimination be used but multiplying the equation

[@RohitKumar-oi7gc]

Awesome video