Mathematics: Pls solve the q in the file

Pls solve the q in the file - id15141082, Redhead667

ioldelk123

31.12.2021

$\left \{ {{p=3} \atop {q=1}} \right.$

Step-by-step explanation:

First, we'll expand (x-p)^2+q . It's equal to x^2-2px+p^2+q .

Then, we'll compare this to x^2-6x+10 .

The terms

are the sameThe terms with

are

and

in the two expressions respectively, so they must be equal. We have -2px=-6x

, so p=3.The remaining terms are (p^2+q)

and

. They must be equal. We have p^2+q=10

. Substituting in p=3

, we get

, so q=1.

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