Lösung 2.3:4c

Aus Online Mathematik Brückenkurs 1

Wechseln zu: Navigation, Suche

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,

Vorlage:Displayed math


Note: the general answer is

Vorlage:Displayed math

where \displaystyle a\ne 0 is a constant.