Respuesta :
Answer:
x = - 1, x = 3
Step-by-step explanation:
Consider the factors of the constant term ( - 3) which sum to give the coefficient of the x- term (- 2)
The factors are - 3 and + 1
(x - 3)(x + 1) ← in factored form
To solve equate to zero, that is
(x - 3)(x + 1) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 1 = 0 ⇒ x = - 1
Answer:
hello :
x² - 2x - 3 = ( x² -2x +1 ) - 2²
= ( x - 1 )² -2²
= ( x - 1 - 2 ) ( x - 1 +2).....by idetity : a² - b² = (a - b) ( a + b )
= ( x - 3 ) ( x + 1)
x² - 2x - 3 = 0 : x - 3 = 0 or x + 1 = 0
so : x = 3 or x = -1