$x^2-4x-45$ = 0

D = ${\left(-2\right)}^2-\left(-45\right)$ = $4$$+$ $45$ = $49$

x_1,2 = $2$ ± $\sqrt{49}$

x₁ = $2$ - $7$ = -5

x₂ = $2$ + $7$ = 9

L = { $-5$; $9$}

$-11x+x^2+10$ = 0

sortieren

$x^2-11x+10$ = 0

D = ${\left(-\frac{11}{2}\right)}^2-10$ = $\frac{121}{4}$ $-$ $10$ = $\frac{121}{4}$$-$ $\frac{40}{4}$ = $\frac{81}{4}$

x_1,2 = $\frac{11}{2}$ ± $\sqrt{\frac{81}{4}}$

x₁ = $\frac{11}{2}$ - $\frac{9}{2}$ = $\frac{2}{2}$ = 1

x₂ = $\frac{11}{2}$ + $\frac{9}{2}$ = $\frac{20}{2}$ = 10

L = { $1$; $10$}