Respuesta :

Answer:


Alternative C


Step-by-step explanation:

x² + 10x + 24 = 0

∆ = 10² - 4.1.24

∆ = 100 - 96

∆ = 4

[tex]x' = \frac{- 10 + 2}{2} \\\\\ x' = - 4 \\\ x" = \frac{- 10 - 2}{2} \\\\\ x" = - 6[/tex]


I hope I helped you.

Answer: C

Step-by-step explanation:

x² + 10x + 24 = 0

                ∧

               1 + 24 = 25

               2 + 12 = 14

               3 + 8 = 11

                4 + 6 = 10  ← THIS WORKS!

(x + 4)(x + 6) = 0

x + 4 = 0       x + 6 = 0

 x = -4             x = -6