Question

How do you solve this problem?title="x ^{2} - 2x - 3" alt="x ^{2} - 2x - 3" align="absmiddle" class="latex-formula">

Answer 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

Answer 2

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