Question

Realice el siguiente ejercicio a traves de la formula de Ecuacion de Segundo Grado con su respectiva comprobacion :

x²+7x+12=0​

Answer 1

Respuesta:

x₁ = -3

x₂ = -4

Explicación paso a paso:

x² + 7x + 12 = 0​

x = (-b ±√(b² - 4ac)) / 2a

x = (-7 ±√(7² - 4(1)(12)) / 2(1)

x = (-7 ±√(49 - 48) / 2

x = (-7 ±√(1)) / 2

x = (-7 ± 1) / 2

x₁ = (-7 + 1) / 2

x₁ = -6 / 2

x₁ = -3

x₂ = (-7 - 1) / 2

x₂ = -8 / 2

x₂ = -4

x² + 7x + 12 = 0​

(-3)² + 7(-3) + 12 = 0

9 - 21 + 12 = 0

0 = 0

x² + 7x + 12 = 0​

(-4)² + 7(-4) + 12 = 0

16 - 28 + 12 = 0

0 = 0