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Lösung 2.3:9c

Aus Online Mathematik Brückenkurs 1

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To determine all the points on the curve y=3x2−12x+9 which also lie on the x-axis we substitute the equation of the x-axis i.e. y=0 in the equation of the curve and obtain that x must satisfy

Vorlage:Displayed math

After dividing by 3 and completing the square the right-hand side is

Vorlage:Displayed math

and thus the equation has solutions x=21 i.e. x=2−1=1 and x=2+1=3.

The points where the curve cut the x-axis are (1,0) and (3,0).


Von „http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/L%C3%B6sung_2.3:9c“