Question

x ao quadrado -13x+22=0

Answer 1

x² - 13x + 22 = 0

a = 1
b = - 13
c = 22

Δ = b² -4 .a . c 
Δ = (-13)² -4 . 1 . 22
Δ = 169 - 88
Δ = 81

$\mathtt{\dfrac{-b+-~\sqrt{\Delta}}{2~.~a}~~=~~\dfrac{-(-13)+-~\sqrt{81}}{2~.~1}~~=~~\dfrac{13+-~9}{2}} \\ \\ \\ \mathtt{x'=\dfrac{13+9}{2}~~=~~\dfrac{22}{2}~~=~~11} \\ \\ \\ \mathtt{x'' = \dfrac{13-9}{2}~~=~~\dfrac{4}{2}~~=~~2} \\ \\ \\ \boxed{\boxed{\mathtt{Resposta: S:~~2~~~e~~~11}}}$