pq formula coefficient of 2 to 1?

I have the term 2x^2-x-3 and want to apply pq formula so I halve everything

then have x^2-0.5x-1.5

Then why do the zeros always change when it becomes 1x^n?

For example, if I have 4x^2-2x-6, are the zeros identical?

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evtldocha
6 months ago

Why then do the zeros always change when it becomes 1x^n??

… The zero points must not change (and do not do it), otherwise the division by 2 would not be allowed. Or otherwise:

If pq formula and abc formula (aka: midnight formula) do not deliver the same result for zero points, then something went wrong in one of the two invoices.

Halbrecht
6 months ago

2x^2-x-3

x2 – 0.5x – 1.5 = 0

you have divided 2

you take x2 – 0.5x – 1.5 times 4 you have the same zeros because you have to split by 4