Question

resolva a equação do 2° grau em Real x²-x-6=0

Answer 1

x² - x - 6 = 0

a = 1
b = - 1
c = -6

Δ = b² -4 .a . c
Δ = (-1)² -4 . 1 . (-6)
Δ = 1 + 24
Δ = 25

$\mathtt{\dfrac{-b+-~\sqrt{\Delta}}{2~.~a}~~=~~\dfrac{-(-1)+-~\sqrt{25}}{2~.~1}~~=~~\dfrac{1+-~5}{2}} \\ \\ \\ \mathtt{x' = \dfrac{1+5}{2}~~=~~\dfrac{6}{2}~~=~~3} \\ \\ \\ \mathtt{x'' = \dfrac{1-5}{2}~~=~~-\dfrac{4}{2}~~=~~-2} \\ \\ \\ \boxed{\boxed{\mathtt{Resposta: s = -2~~e~~ 3}}}$