rajlal wrote:

If we in the beginning itself, divide both the sides by "a", then we will have \(b^2\) and \(c\) left, in that case, wouldn't A become bigger?

You cant divide with a if you dont know its sign.

Division with a negative number would flip the inequality.

For example

-1 < 5 divide both sides with -1 you get 1> -5.

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Sandy

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