%%11=2x+\frac{12}x%%

%%11=2x+\frac{12}x%%

%%\vert\cdot x%%

%%11x=2x^2+12%%

%%\vert-11x%%

%%2x^2-11x+12=0%%

Diskriminante bestimmen.

%%\begin{array}{l}D=121-4\cdot2\cdot12=25\;\\\end{array}%%

%%25>0%% %%\Rightarrow%% 2 Lösungen

Mitternachtsformel anwenden.

%%x_1=\frac{11+\sqrt{25}}{2\cdot2}=\frac{16}{4}=4%%

%%x_2=\frac{11-\sqrt{25}}{2\cdot2}=\frac{6}{4}=1,5%%

%%L=\left\{1,5\;;\;4\right\}%%

Graph zeichnen

 

Geogebra File: https://assets.serlo.org/legacy/2411_0SE09xEkK0.xml