Question

Resolver por método de factorización con procedimiento:

a) 100x2 - 25 = 0

b) 20x2 = 40x

Aiiiiiuda porfis

Answer 1

A)
100X² - 25 = 0

100(X² - 1/4) = 0

100(X² - 1/4) = 100[(X + 1/2)(X - 1/2)]

Prueba

(X + 1/2)(X - 1/2) = X² - (1/2)X + (1/2)X - [(1/2)(1/2)]

(X + 1/2)(X - 1/2) = X²  - [1/4]

B) 20X² = 40X

20X² - 40X = 0

20X[X - 2] = 0

20X[X - 2] = 0

20X = 0, X = 0

X - 2 = 0; X = -2