Lösung 2.3:5a
Aus Online Mathematik Brückenkurs 1
In this exercise we can use the technique for writing equations in factorized form. Consider in our case the equation
This equation has only \displaystyle x=-7 as a root because both factors become zero only when \displaystyle x=-7. In addition, it is an second-degree equation, which we can clearly see if the left-hand side is expanded,
Thus, one answer is the equation \displaystyle x^{2}+14x+49=0\,.
Note: All second-degree equations which have \displaystyle x=-7 as its sole root can be written as
where a is a non-zero constant.
