Lösung 2.3:4c
Aus Online Mathematik Brückenkurs 1
The equation \displaystyle (x-3)(x-\sqrt{3}\,)=0 is a second-degree equation which has \displaystyle x=3 and \displaystyle x=\sqrt{3} as roots; when \displaystyle x=3, the first factor is zero and when \displaystyle x=\sqrt{3} the second factor is zero.
If we expand the equation's left-hand side, we get the equation in standard form,
Note: the general answer is
where \displaystyle a\ne 0 is a constant.