Question

Resolva a equação do 2°grau:
X²+5x+6=0

Answer 1

x² + 5x + 6= 0

Δ= -b² -4 .a .c 
Δ= -5² -4 .1 . 6
Δ= 25 - 24
Δ= 1

x' = -b - √Δ/ 2.a

x' = -5 - 1/ 2.1 
x'=-6/2 = -3 

x"=  -b + √Δ/ 2.a

x"= -5 + 1/ 2.1
x" -4/2 = -2
     

Answer 2

X² + 5x + 6 = 0
a = 1
b = 5
c = 6

Δ = b² -4 .a . c
Δ = 5² - 4 . 1 . 6
Δ = 25 - 4 . 6
Δ = 25 - 24
Δ = 1 

$\mathtt{\dfrac{-b+-~\sqrt{\Delta}}{2~.~a}~~=~~\dfrac{-5 +- \sqrt{1}}{2~.~1}~~=~~\dfrac{-5 +-~1}{2}} \\ \\ \\ \mathtt{x' = \dfrac{-5 + 1}{2}~~=~~-\dfrac{4}{2}~~=~~-2} \\ \\ \\ \mathtt{x'' = \dfrac{-5 - 1}{2}~~=~~-\dfrac{6}{2}~~=~~ -3}$

Resposta: S{-2 , -3}