\(2x^2+(4s-r)x = 2rs |:2\)
\(x^2+\frac{4s-r}{2}x =rs \) quadratische Ergänzung
\(x^2+\frac{4s-r}{2}x+(\frac{4s-r}{4})^2=rs +(\frac{4s-r}{4})^2\) 1. Binom
\((x+\frac{4s-r}{4})^2=\frac{1}{16}(4s-r)^2+rs |±\sqrt{~~}\)
1.)
\(x+\frac{4s-r}{4}= \sqrt{\frac{1}{16}(4s-r)^2+rs}\)
\(x_1=-\frac{4s-r}{4}+\sqrt{\frac{1}{16}(4s-r)^2+rs}\)
2.)
\(x+\frac{4s-r}{4}= -\sqrt{\frac{1}{16}(4s-r)^2+rs}\)
\(x_2=-\frac{4s-r}{4}-\sqrt{\frac{1}{16}(4s-r)^2+rs}\)
Wird noch ergänzt!