$x^2+16x+63$ = 0

D = $8^2-63$ = $64$ $-$ $63$ = $1$

x_1,2 = $-8$ ± $\sqrt{1}$

x₁ = $-8$ - $1$ = -9

x₂ = $-8$ + $1$ = -7

L = { $-9$; $-7$}

$x^2+14-9x$ = 0

sortieren

$x^2-9x+14$ = 0

D = ${\left(-\frac{9}{2}\right)}^2-14$ = $\frac{81}{4}$ $-$ $14$ = $\frac{81}{4}$$-$ $\frac{56}{4}$ = $\frac{25}{4}$

x_1,2 = $\frac{9}{2}$ ± $\sqrt{\frac{25}{4}}$

x₁ = $\frac{9}{2}$ - $\frac{5}{2}$ = $\frac{4}{2}$ = 2

x₂ = $\frac{9}{2}$ + $\frac{5}{2}$ = $\frac{14}{2}$ = 7

L = { $2$; $7$}