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Re: express a quadratic, in the form (x+a)^2 + b


On Dec 19, 10:08 am, "Joseph Fagan" <noemailple... at nowhere.ru> wrote:
> I'm a Mathematica beginner.
> I wish to express a quadratic, in the form (x+a)^2 + b
> eg to express x^2 + 4x + 7 as (x+2)^2 + 3
> Is there an easy way?
> Thanks
> Joe

Take the Taylor expansion near the coefficient of x divided by 2:

(Normal[Series[#1, {x, -Coefficient[#1, x, 1]/2, 2}]] & )[x^2 + 4*x +
7]

gives  3 + (2 + x)^2.

Adriano Pascoletti


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