$x^2-13x+36$ = 0

D = ${\left(-\frac{13}{2}\right)}^2-36$ = $\frac{169}{4}$ $-$ $36$ = $\frac{169}{4}$$-$ $\frac{144}{4}$ = $\frac{25}{4}$

x_1,2 = $\frac{13}{2}$ ± $\sqrt{\frac{25}{4}}$

x₁ = $\frac{13}{2}$ - $\frac{5}{2}$ = $\frac{8}{2}$ = 4

x₂ = $\frac{13}{2}$ + $\frac{5}{2}$ = $\frac{18}{2}$ = 9

L = { $4$; $9$}

$x^2-70-3x$ = 0

sortieren

$x^2-3x-70$ = 0

D = ${\left(-\frac{3}{2}\right)}^2-\left(-70\right)$ = $\frac{9}{4}$$+$ $70$ = $\frac{9}{4}$$+$ $\frac{280}{4}$ = $\frac{289}{4}$

x_1,2 = $\frac{3}{2}$ ± $\sqrt{\frac{289}{4}}$

x₁ = $\frac{3}{2}$ - $\frac{17}{2}$ = $-\frac{14}{2}$ = -7

x₂ = $\frac{3}{2}$ + $\frac{17}{2}$ = $\frac{20}{2}$ = 10

L = { $-7$; $10$}