Question

(09.02)

Write x2 - 2x - 3 = 0 in the form (x - a)2 = b, where a and b are integers. (1 point)
(x-4)2 = 3
(x-3) 2=2
(x-2)2= 1
O (x - 1)2 = 4

Answer 1

4th option

Explanation:

x² - 2x - 3 = 0 ( add 3 to both sides )

x² - 2x = 3

using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 3 + 1

(x - 1)² = 4