Question

ayuda, porfavor necesito que me ayuden a resolver unas ecuaciones, no entendi, porfis Resolver las siguientes ecuaciones cuadráticas. a) x2 – 8x + 12 = 0 b) x2 = 5x  4 c) – x2 – 2x + 3 = 0 d) x2 – 4 = 0 e) x2 – 2x =  3 f) 2x2 – 4x = 0 g) x2 = 0 h) 3x2 = 0

Answer 1

Respuesta:

a) x² – 8x + 12 = 0

x² - 2x - 6x + 12 = 0

x (x - 2) - 6 (x - 2) = 0

(x - 2) (x - 6) = 0

x - 2 = 0

x - 6 = 0

x = 2

x = 6

b) x² = 5x × 4

x² = 20x

x² - 20x = 0

x (x - 20) = 0

x = 0

x - 20 = 0

x = 0

x = 20

c) – x² – 2x + 3 = 0

x² + 2x - 3 = 0

x² + 3x - x - 3 = 0

x (x + 3) - (x + 3) = 0

(x + 3) × (x - 1) = 0

x + 3 = 0

x - 1 = 0

x = -3

x = 1

d) x² – 4 = 0

x² = 4

x = ±2

x = -2

x = 2

e) x² – 2x = 3

x² - 2x - 3 = 0

x² + x - 3x - 3 = 0

x² (x + 1) - 3 (x + 1) = 0

(x + 1) × (x - 3) = 0

x + 1 = 0

x - 3 = 0

x = -1

x = 3

f) 2x² – 4x = 0

2x × (x - 2) = 0

x (x - 2) = 0

x = 0

x - 2 = 0

x = 0

x = 2

g) x² = 0

x = 0

h) 3x² = 0

x² = 0

x = 0