$x^2+5x-36$ = 0

D = ${\left(\frac{5}{2}\right)}^2-\left(-36\right)$ = $\frac{25}{4}$$+$ $36$ = $\frac{25}{4}$$+$ $\frac{144}{4}$ = $\frac{169}{4}$

x_1,2 = $-\frac{5}{2}$ ± $\sqrt{\frac{169}{4}}$

x₁ = $-\frac{5}{2}$ - $\frac{13}{2}$ = $-\frac{18}{2}$ = -9

x₂ = $-\frac{5}{2}$ + $\frac{13}{2}$ = $\frac{8}{2}$ = 4

L = { $-9$; $4$}

$11x+24+x^2$ = 0

sortieren

$x^2+11x+24$ = 0

D = ${\left(\frac{11}{2}\right)}^2-24$ = $\frac{121}{4}$ $-$ $24$ = $\frac{121}{4}$$-$ $\frac{96}{4}$ = $\frac{25}{4}$

x_1,2 = $-\frac{11}{2}$ ± $\sqrt{\frac{25}{4}}$

x₁ = $-\frac{11}{2}$ - $\frac{5}{2}$ = $-\frac{16}{2}$ = -8

x₂ = $-\frac{11}{2}$ + $\frac{5}{2}$ = $-\frac{6}{2}$ = -3

L = { $-8$; $-3$}